48 Different Types Of Functions And Their Graphs [Complete List] (2023)

There are different types of functions in Mathematics.

In the previous lesson, we have learned What is a function? Now in this chapter, we will learn about 48 Different Types of Functions Graphs.

We have tried to include all types of functions and their graphs.

Algebraic function

Polynomial function

A polynomial in the variable x is a function that can be written in the form,

f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+…..+a_{2}x^{2}+a_{1}x+a_{0}

where a_{n},\: a_{n-1},…..,\: a_{2},\: a_{1},\: a_{0} are constants.

We call the term containing the highest power of x\: (i.e.,a_{n}x^{n}) the leading term, and we call a_{n} the leading coefficient.

The degree of the polynomial is the power of x in the leading term.

There are different types of polynomial function based on the degree of the leading term and they are

Power function

A Power Function is expressed as

y=ax^{n},

where a is a constant and n is an integer.

Example:

• y=x ,
• y=x^{2} ,
• y=x^{3} ,
• y=x^{-1}=\frac{1}{x},
• y=x^{-2}=\frac{1}{x^{2}} ,
• y=x^{-3}=\frac{1}{x^{3}} .

Rational function

The quotient of two polynomials is called a Rational function.

Rational function is expressed in the form

f(x)=\frac{g(x)}{h(x)},h(x)\neq 0,

where g(x) and h(x) are polynomial functions.

The domain of a rational function is the set of all real numbers excepting those x for which h(x)=0.

Example:

• y=\frac{1}{x^{2}},
• y=\frac{x^{3}-x^{2}+1}{x^{5}+x^{3}-x+1}.

Irrational function

The functions that can not be expressed as a quotient of two polynomial functions are called Irrational Function.

Irrational functions involve radical, trigonometric functions, hyperbolic functions, exponential and logarithmic functions etc.

Example:

• y=\sqrt{x^{3}}=x^{\frac{3}{2}},
• y=2^{x},
• y=log_{a}\: x.

Modulus function or Absolute value function

Let f:\mathbb{R}\rightarrow \mathbb{R} be defined f(x)=\left | x \right |,x\epsilon \mathbb{R}. The range of the function is {x\epsilon \mathbb{R}:-1\leq x\leq 1}.

f is equivalently expressed as f(x)=\left | x \right |

or as

f is called the Modulus function (Absolute value function).

Signum function

Let f:\mathbb{R}\rightarrow \mathbb{R} be defined by f(x)=sgn\: x,\: x\epsilon \mathbb{R}

This function is called signum function and range of signum function is {-1, 0, 1}.

Signum function is equivalently expressed as

Greatest integer function or Floor function

Let f:\mathbb{R}\rightarrow \mathbb{R} be defined by f(x)=\left [ x \right ], x\epsilon \mathbb{R}.

(Video) Types of Functions and their graphs | Class 11 Maths chapter 2 | Relations and Functions | 2021

[x] is the greatest integer not greater than x (i.e., smaller than x) and the range of the function is \mathbb{Z}.

f is equivalently expressed as

f is called the greatest integer function or Floor function.

Example:

• \left [ 2.3247 \right ] =2,
• \left [ 0.231 \right ] =0 ,
• \left [ -8.3247 \right ] =-9 ,
• \left [ -0.78 \right ] =-1 .

Least integer function or Ceiling function

The least integer function (Ceiling function) is expressed as y= \lceil x \rceil.

Here \lceil x \rceil is the least integer greater than x and the range of the function is\mathbb{Z}.

Example:

• \lceil 2.3247 \rceil =3 ,
• \lceil 0.231 \rceil =1 ,
• \lceil -8.3247 \rceil =-8 ,
• \lceil -0.78 \rceil =-0 .

Step function

A function f defined on I=\left [ a,b \right ] is said to be a step function on I if there exist finite number of points x_{0},x_{1},x_{2},…..,x_{n}\: (a=x_{0}<x_{1}<x_{2}<x_{2}< …..<x_{n-1}<x_{n}=b) such that f is a constant on each open subinterval \left ( x_{k-1},x_{k} \right ) of [a,b].

That is, for each k=1, 2, ….. , n, there is a real number s_{k} such that f(x)=s_{k} for all x\epsilon (x_{k-1},x_{k}). f(x_{k-1}), f(x_{k}) need not be same as s_{k},\: k=1,2,…..,n .

Fractional part function

Fractional part function is expressed as

y = {x} = x – [x]

or as

Example

• {1.5} = 1.5 – [1.5] = 1.5 – 1 = .5
• {-1.4} = -1.4 – [-1.4] = -1.4 – (-2) = -1.4 + 2 = 0.6,
• {-1} = -1 – [-1] = -1 + 1 = 0,
• {1} = 1 – [1] = 1 -1 =0.

Dirichlet function

Let a, b\epsilon \mathbb{R}\: \left ( a \neq b \right ). The Dirichlet function is defined as

• The function f defined above has its domain (-\infty ,\infty ).
• The value of f jump in finitely often from a to b and back, in any interval of x.
• Dirichlet function has an analytic form which is f(x)=\lim_{m\rightarrow \infty }\lim_{n\rightarrow \infty }cos^{2n}m!\pi x.
• This function can not be represented by a graph on the Euclidean plane.

Example 1. If we take a=1 and b=0 then the dirichlet function is as follows

• Domain = (-\infty ,\infty ),
• The value of f jump in finitely often from 1 to 0 and back, in any interval of x.

Example 2. If we take a=1 and b=-1 then the dirichlet function is as follows

• Domain = (-\infty ,\infty ),
• The value of f jump in finitely often from 1 to -1 and back, in any interval of x.

Transcendental function

Now we learn about some functions other than the algebraic functions.

They are called Transcendental functions and they are:

1. Trigonometric function or circular function,
2. Inverse Trigonometric function or Inverse circular function,
3. Exponential function,
4. Logarithmic function,
5. Hyperbolic function,
6. Inverse hyperbolic function

Trigonometric function or circular function

The Trigonometric (or circular) functions are

1. y = sin x,
2. y = cos x,
3. y = tan x,

and their reciprocals are

1. y = cosec x,
2. y = sec x,
3. y = cot x.

We shall always take the radian measure of the angle as the argument (input) x i.e., the value of y = sin x at x=x_{0} is equal to the sine of the angle of x_{0} radians.

If x=x_{0}=\frac{\Pi }{2}, then y=sin\: x=sin\: x_{0}=sin\left ( \frac{\Pi }{2} \right )=1.

The trigonometric functions are periodic.

• Functions sin x and cos x have a period 2 \Pi ,
• Functions tan x and cot c have a period \Pi .

Inverse Trigonometric function or Inverse circular function

The functions y=sin^{-1}x (or Arc sin x), y=cos^{-1}x (or Arc cos x), y=tan^{-1}x (or Arc tan x), etc., are inverse to trigonometric functions sin x, cos x, tan x, etc. are called Inverse Trigonometric function or Inverse circular function.

There are 6 Inverse Trigonometric functions or Inverse circular functions and they are

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1. inverse function of sin x is sin^{-1}x or Arc sin x,
2. inverse function of cos x is cos^{-1}x or Arc cos x,
3. inverse function of tan x is tan^{-1}x or Arc tan x,
4. inverse function of cosec x is cosec^{-1}x or Arc cosec x,
5. inverse function of sec x is sec^{-1}x or Arc sec x,
6. inverse function of cot x is cot^{-1}x or Arc cot x.

The values of these functions express radian measures of the angles or the lengths of the arcs of a unit circle.

i.e., if y=sin^{-1}x=1, then x=sin\left ( 1 \right )=\frac{\Pi }{2}, a radian measure.

Exponential function

An exponential function has the form y=a^{x} where a>0\: and \: a\neq 1.

Range of exponential function belongs to \left ( 0,\infty \right ).

Depending on the value of a here two case arise and they are

Case 1

When a>1, y=a^{x} is strictly increasing function.

Example: 2^{x},3^{x},4^{x} etc.

Case 2

When 0<a<1, y=a^{x} is strictly decreasing function.

Example: \left ( \frac{1}{2} \right )^{x}, \left ( \frac{1}{3} \right )^{x}, \left ( \frac{1}{4} \right )^{x} etc.

When a = e, the exponential function takes the form

y=e^{x}=1+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+…..

Logarithmic function

The function f(x)=log_{a} \: x;\: \left ( x,a> 0 \right ) and a\neq 0 is a logarithmic function.

Thus, the domain of the logarithmic function is all real positive numbers and their range is the set \mathbb{R} of all real numbers.

We have seen that y=a^{x} is strictly increasing when a>1 and strictly decreasing when 0<a<1.

So the function is invertible.

The inverse of this function is denoted by log_{a} \: x, we write

y=a^{x}\Rightarrow x=log_{a}\: y;

where x\epsilon \mathbb{R} and y\epsilon \left ( 0,\infty \right ).

Writing y=log_{a} \: x in place of x=log_{a} \: y, we have the graph of y=log_{a} \: x.

Thus the logarithmic function is also known as inverse of the exponential function.

Hyperbolic function

There are 6 hyperbolic functions and they are defined by

1. hyperbolic sine of x written as sinh \: x=\frac{1}{2}(e^{x}-e^{-x}),
2. hyperbolic cosine of x written as cosh \: x=\frac{1}{2}(e^{x}+e^{-x}),
3. hyperbolic cosec of x written as cosech \: x=\frac{2}{e^{x}-e^{-x}},
4. hyperbolic sec of x written as sech \: x=\frac{2}{e^{x}+e^{-x}},
5. hyperbolic tan of x written as tanh\: x=\frac{sinh\: x}{cosh\: x}=\frac{e^{x}-e^{x}}{e^{x}+e^{x}},
6. hyperbolic cot of x written as coth\: x=\frac{1}{tanh\: x}=\frac{e^{x}+e^{x}}{e^{x}-e^{x}}.

The following two results follow from our definitions:

• cosh\: x+sinh\: x=e^{x},
• cosh\: x-sinh\: x=e^{-x} .

Inverse hyperbolic function

The inverse of the hyperbolic function discussed above are:

1. sinh^{-1}\: x=log\left ( x+\sqrt{x^{2}+1} \right ) (defined for all real x),
2. cosh^{-1}\: x=log\left ( x+\sqrt{x^{2}-1} \right )\: \left ( x\geq 1 \right ),
3. tanh^{-1}\: x=\frac{1}{2}log\frac{1+x}{1-x}\: ,\: ( -1< x< 1 or \left | x \right |< 1),
4. coth^{-1}\: x=\frac{1}{2}log\frac{x+1}{x-1}\: ,\: ( \left | x \right |> 1),
5. sech^{-1}\: x=log\frac{1+\sqrt{1-x^{2}}}{x},\: \left ( 0< x< 1 \right )
6. cosech^{-1}\: x=log\frac{1\pm \sqrt{1+x^{2}}}{x}, (+ve sign if x > 0 and -ve sign if x < 0)

Even and Odd function

For a\epsilon \mathbb{R}*, let D be the symmetric interval (-a,a).

Even function

A function f:D\rightarrow \mathbb{R} is said to an even function if f(-x)=f(x) for all x\epsilon D.

Example: The function f:D\rightarrow \mathbb{R} defined by f(x)=x^{2}, f(x)=cos\: x are even functions on \mathbb{R}.

Odd function

A function f:D\rightarrow \mathbb{R} is said to an even function if f(-x)=-f(x) for all x\epsilon D.

Example: The function f:D\rightarrow \mathbb{R} defined by f(x)=x, \: f(x)=sin\: x, \: sgn\: x are odd functions on \mathbb{R}.

Implicit and Explicit function

Explicit function

If a function is directly expressed as y as a function of, then it is called an explicit function.

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Example:

• y=x+1,
• y^{2}=4ax .

Implicit function

If a function is not expressed as a function of x directly then it is called an implicit function.

Example:

• x^{\frac{2}{3}}+y^{\frac{2}{3}}=a^{\frac{2}{3}} ,
• y-e^{x}=0 .

Read more: Difference between implicit and explicit function

Periodic function

A function f:D\rightarrow \mathbb{R} is said to be a periodic function if there exists a positive real number p such that f(x+p)=f(x),\: p being called the period of a function.

Equivalently, the least positive real number p (if exists) is said to be the period of a function f:D\rightarrow \mathbb{R} if f(x+np)=f(x) holds in D for all integer n.

Example: sin\: x is a Periodic function of period 2\pi.

sin\: x=sin\: (x+2n\pi ) for all integer n and 2\pi is the least positive value of 2n\pi.

Therefore period of sine function is 2\pi.

For better understanding watch the video given below (duration: 8 seconds).

Inverse function

Let f:A\rightarrow B be s function whose domain is A and whose range (\equiv codomain) is B.

Then by definition, for each x\epsilon A, there exist an unique y=f(x)\epsilon B ;x is called the argument and y \: or \: f(x) is the value of the function at x.

If now the function is one to one, then we shall get for each y\epsilon B, a unique x in A. This correspondence is called the inverse mapping or inverse function, denoted by f^{-1}.

We may consider that f^{-1} maps each y=f(x) \epsilon B to a unique x=f^{-1}(y)\epsilon A. Thus when f^{-1} exists, B is its domain and A is its range.

Then we can say

f:x\rightarrow f(x);\: \: f^{-1}:f(x)\rightarrow x

Example:

Let the domain be A= { x\epsilon \mathbb{R} : x\geq 0 } and f(x)=x^{2},x\epsilon A .

Then range f(A)= { x\epsilon \mathbb{R}:x\geq 0 } =E(say). Then f:A\rightarrow E is one to one as well as onto.

The inverse function f: E \rightarrow A is defined by f^{-1}(x)=\sqrt{y}=\sqrt{x^{2}}=x since x>0.

This inverse function is called the square root function.

Restriction function

Let D\subset \mathbb{R} and f:D\rightarrow \mathbb{R} be a function. Let D_{0} be a non empty subset of D. The function g:D_{0}\rightarrow \mathbb{R} defined by g(x)=f(x), x\epsilon D_{0} is said to be the restriction of f to D_{0} and g is denoted by f/D_{0}

Example:

Let f:D\rightarrow \mathbb{R} be defined by f(x)=sgn\:x, x\epsilon \mathbb{R}.

Let D_{0}={x\epsilon \mathbb{R}:x> 0}. Then the restriction function f/D_{0} is defined by f/D_{0}(x)=1,x>0.

Equal function

Let D\subset \mathbb{R}. The function f:D\rightarrow \mathbb{R} and g:D\rightarrow \mathbb{R} having the same domain are said to be equal if f(x)=g(x) for all x\epsilon D.

Example: Let f(x)=\left | x \right |,x> 0;\: g(x)=x,x> 0 be two functions.

Then f and g have the same domain {x\epsilon \mathbb{R}:x> 0 } and f(x)=g(x) for all x in the domain.

Therefore f=g

Monotone function

Let I\subset \mathbb{R} be an interval. A function f:\: I\rightarrow \mathbb{R} is said to be monotone on I if f is monotone increasing or monotone decreasing on I.

Now you are thinking what is a monotone increasing function and what is a monotone decreasing function?

There are 4 types of monotone function

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1. Monotone increasing function,
2. Strictly Monotone increasing function,
3. Monotone decreasing function,
4. Strictly Monotone decreasing function.

Monotone increasing function

A function f:\: I\rightarrow \mathbb{R} is said to be monotone increasing function on I if x_{1},x_{2}\epsilon I and x_{1}< x_{2}\Rightarrow f(x_{1})\leq f(x_{2})

Example: Let f(x) = sgn\: x, x\epsilon [-1,1]

x_{1} < 0, x_{2} < 0 and x_{1} < x_{2} \Rightarrow f(x_{1})=f(x_{2})

x_{1} < 0, x_{2} > 0 and x_{1} < x_{2} \Rightarrow f(x_{1})<f(x_{2})

x_{1} > 0, x_{2} > 0 and x_{1} < x_{2} \Rightarrow f(x_{1})=f(x_{2})

Therefore f is monotone increasing on [-1,1].

Strictly Monotone increasing function

A function f:\: I\rightarrow \mathbb{R} is said to be strictly monotone increasing function on I if x_{1},x_{2}\epsilon I and x_{1}< x_{2}\Rightarrow f(x_{1})< f(x_{2}).

Example: y=x (latex]x\epsilon \mathbb{R}[/latex]) is a strictly monotone increasing function because for every x_{1}> x_{2}\Rightarrow f(x_{1})> f(x_{2}).

Monotone decreasing function

A function f:\: I\rightarrow \mathbb{R} is said to be monotone increasing function on I if x_{1},x_{2}\epsilon I and x_{1}< x_{2}\Rightarrow f(x_{1})\geq f(x_{2})

Strictly Monotone decreasing function

A function f:\: I\rightarrow \mathbb{R} is said to be strictly monotone decreasing function on I if x_{1},x_{2}\epsilon I and x_{1}< x_{2}\Rightarrow f(x_{1})> f(x_{2})

Example: Let f(x)=1-x,x\epsilon \mathbb{R}.

x_{1},x_{2}\epsilon \mathbb{R} and x_{1} f(x_{2}).

Therefore f is strictly decreasing on \mathbb{R}.

Bounded function

A real valued function f defined on a domain is said to be bounded if there exist two real numbers [latex]k and K such that, k\leq f(x)\leq K.

k is said to be a lower bound and K an upper bound of f on D.

If f is not bounded, it is said to be unbounded.

Example: sin\: x is a bounded function because -1< sin\: x< 1.

Parametric function

If both dependent variable (y) and the independent variable (x) are expressed as a function of a third variable t or \left ( \theta \right ), we say that the function has been represented parametrically.

This third variable t or \left ( \theta \right ) is called a parameter.

Example: x=at^{2}, y=2at represent parametrically y^{2}=4ax (a parabola).

Function of a function or Composite Function

Let u=f(x) and y=\phi (u) be two functions such that f is defined over a set S of real numbers and \phi is defined over a set T of real numbers.

Suppose every f(x) for all x\epsilon S is a member of T.

Then clearly the two relations u=f(x) and y=\phi (u) determine y as a function of x defined over S.

We call y as a function of a function or Composite function.

Example 1. Let u=x^{3} , y=sin\: u .

Then the Composite function (Function of a function) is

y=sin\: u=sin\: x^{3}

i.e., y=sin\: x^{3}

Example 2. Let u=x^{2}+1 and y=\sqrt{u} .

Then similarly y=\sqrt{x^{2}+1}

We hope you understand every different types of functions and their graphs.

Still have any question on the topic different types of functions, please let us know in the comment section.

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FAQs

What are all the different types of functions with graphs? ›

There are eight different types of functions that are commonly used, therefore eight different types of graphs of functions. These types of function graphs are linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.

How many different types of functions are there? ›

The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function. Based on Domain: Algebraic Functions, Trigonometry functions, logarithmic functions.

What are the 10 types of function? ›

Types of Functions
• One – one function (Injective function)
• Many – one function.
• Onto – function (Surjective Function)
• Into – function.
• Polynomial function.
• Linear Function.
• Identical Function.
Dec 12, 2019

How many function graphs are there? ›

Different Types of Graphs

The eight types are linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.

How many types of function and explain with example? ›

Types of Functions
Based on ElementsOne-One Function Many-One Function Onto Function One-One and Onto Function Into Function Constant Function
Based on the EquationIdentity Function Linear Function Quadratic Function Cubic Function Polynomial Functions
2 more rows
Dec 1, 2021

What are the 12 types of functions? ›

Terms in this set (12)
• Quadratic. f(x)=x^2. D: -∞,∞ R: 0,∞
• Reciprocal. f(x)=1/x. D: -∞,0 U 0,∞ R: -∞,0 U 0,∞ Odd.
• Exponential. f(x)=e^x. D: -∞,∞ R: 0,∞
• Sine. f(x)=SINx. D: -∞,∞ R: -1,1. Odd.
• Greatest Integer. f(x)= [[x]] D: -∞,∞ R: {All Integers} Neither.
• Absolute Value. f(x)= I x I. D: -∞,∞ R: 0,∞ ...
• Linear. f(x)=x. Odd.
• Cubic. f(x)=x^3. Odd.

What is function in math grade 11? ›

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

What are the different names of functions? ›

List of Functions and Their Graphs
• Identity function.
• Constant function.
• Polynomial function.
• Rational functions.
• Modulus function.
• Signum function.
• Greatest integer function.

What are the 9 basic functions? ›

Terms in this set (9)
• Linear. f (x) = mx + b, m ≠ 0. D: (-∞, ∞) R: (-∞, ∞) ...
• Constant. f (x) = c. D: (-∞, ∞) R: [c, c} or {c} ...
• Identity. f (x) = x. D: (-∞, ∞) R: (-∞, ∞) ...
• Square. f (x) = x^2. D: (-∞, ∞) R: [0, ∞) ...
• Cube. f (x) = x^3. ...
• Square Root. f(x) = sqrt(x) = x^(1/2) ...
• Cube Root. f(x) = cuberoot(x) = x^(1/3) ...
• Absolute Value. f(x) = |x|

What is function math class 12? ›

A function is a relationship which explains that there should be only one output for each input. It is a special kind of relation(a set of ordered pairs) which obeys a rule, i.e. every y-value should be connected to only one y-value.

How many types of graphs are there? ›

44 Types of Graphs Perfect for Every Top Industry. Popular graph types include line graphs, bar graphs, pie charts, scatter plots and histograms. Graphs are a great way to visualize data and display statistics. For example, a bar graph or chart is used to display numerical data that is independent of one another.

What are the 6 basic graphs? ›

Six Graphs of Common Functions

Linear function. Absolute value function. Square root function (Ch 5) Quadratic function.

What are examples of functions in math? ›

An example of a simple function is f(x) = x2. In this function, the function f(x) takes the value of “x” and then squares it. For instance, if x = 3, then f(3) = 9. A few more examples of functions are: f(x) = sin x, f(x) = x2 + 3, f(x) = 1/x, f(x) = 2x + 3, etc.

How do you identify a function type? ›

One method for identifying functions is to look at the difference or the ratio of different values of the dependent variable. For example, if the difference between values of the dependent variable is the same each time we change the independent variable by the same amount, then the function is linear.

What are the different types of functions and relations? ›

There are different types of relations and functions such as empty relation, universal relation, reflexive relation, symmetric relation, transitive relation, equivalence relation, constant function, polynomial function, identity function, on-to-one function, onto function, bijective function, etc.

Which of the 12 basic functions are even? ›

Which of the basic functions are even, which are odd and which are neither? Even Functions: The squaring function and the absolute value function. Odd Functions: The identity function, the cubing function, the reciprocal function, the sine function.

Which of the 12 basic functions has a graph that passes through the origin? ›

The graph of the identity function has the following properties: It passes through the origin, and every point that lies on the line has equal and . Both the domain and the range of the identity function are the set of all real numbers .

Which of the 12 basic functions have a range of all real numbers? ›

The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .

What are the 4 types of functions? ›

There are 4 types of functions:
• Functions with arguments and return values. This function has arguments and returns a value: ...
• Functions with arguments and without return values. ...
• Functions without arguments and with return values. ...
• Functions without arguments and without return values.

What are the 6 basic functions? ›

Here are some of the most commonly used functions, and their graphs:
• Linear Function: f(x) = mx + b.
• Square Function: f(x) = x2
• Cube Function: f(x) = x3
• Square Root Function: f(x) = √x.
• Absolute Value Function: f(x) = |x|
• Reciprocal Function. f(x) = 1/x.

What are the 16 types of chart in Excel? ›

To better understand each chart and graph type and how you can use them, here's an overview of graph and chart types.
• Bar Graph. ...
• Column Chart. ...
• Line Graph. ...
• Dual Axis Chart. ...
• Area Chart. ...
• Stacked Bar Chart. ...
• Mekko Chart. ...
• Pie Chart.
Jun 3, 2022

What are the different types of graphs Year 10? ›

Here we will learn about types of graphs, including straight line graphs, quadratic graphs, cubic graphs, reciprocal graphs, exponential graphs and circle graphs.

What are the 9 characteristics of a graph? ›

• Domain, Range, Max, Min, Zero,
• Y-Intercept, Interval of Increase,
• and Interval of Decrease.

What are the 12 basic parent functions? ›

The following figures show the graphs of parent functions: linear, quadratic, cubic, absolute, reciprocal, exponential, logarithmic, square root, sine, cosine, tangent.

What is function math class 10? ›

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

What are the 7 functions of life? ›

The basic processes of life include organization, metabolism, responsiveness, movements, and reproduction. In humans, who represent the most complex form of life, there are additional requirements such as growth, differentiation, respiration, digestion, and excretion. All of these processes are interrelated.

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Name: Kieth Sipes

Birthday: 2001-04-14

Address: Suite 492 62479 Champlin Loop, South Catrice, MS 57271

Phone: +9663362133320

Job: District Sales Analyst

Hobby: Digital arts, Dance, Ghost hunting, Worldbuilding, Kayaking, Table tennis, 3D printing

Introduction: My name is Kieth Sipes, I am a zany, rich, courageous, powerful, faithful, jolly, excited person who loves writing and wants to share my knowledge and understanding with you.