# IDENTIFY LINEAR AND NONLINEAR FUNCTIONS WORKSHEET

## About "Identify linear and nonlinear functions worksheet"

Identify linear and nonlinear functions worksheet :

Here we are going to see some practice questions on identifying linear and non linear functions.

## Identify linear and nonlinear functions worksheet - Quesions

(1)  The graph shows a function. Is the function linear or nonlinear ?

(2)  The graph shows a function. Is the function linear or nonlinear ?

(3)  The graph shows a function. Is the function linear or nonlinear ?

(4)  The graph shows a function. Is the function linear or nonlinear?

(5)  The graph shows a function. Is the function linear or nonlinear?

(6)  The graph shows a function. Is the function linear or nonlinear?

(7)  The graph shows a function. Is the function linear or nonlinear ?

(8)  The graph shows a function. Is the function linear or nonlinear?

What is linear function ?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = ax + b. A linear function has one independent variable and one dependent variable.

What is non linear function ?

Thus, the graph of a nonlinear function is not a line.Linear functions have a constant slope, so nonlinear functions have a slope that varies between points.

Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant.

## Identify linear and nonlinear functions - Examples

Questions 1 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is the straight line, it is linear function.

Question 2 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

Question 3 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

Question 4 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is the straight line, it is linear function.

Question 5 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

Question 6 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is the straight line, it is linear function.

Question 7 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

Question 8 :

The graph shows a function. Is the function linear or nonlinear?

Solution :

Since the given graph is the straight line, it is linear function.

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