What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a table and as a graph.

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The difference between linear and non linear functions are

The degree of linear function is always 1.

Degree of non linear functions are greater than 1

Difference in y is a constant in linear function

For non linear function table , difference in y is not a constant .

The graph of linear function is a line .

The graph of non linear function is a curved shape.

Given :

Linear and non linear functions

Linear function of the form y=mx+b

for example we take linear function f(x)=2x+3

The degree of linear function is always 1.

Degree of non linear functions are greater than 1

When we represents a linear function in a table then there will common difference in y values . Difference in y is a constant.

For non linear function table , difference in y is not a constant .

The graph of linear function is a line .

The graph of non linear function is a curved shape.

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Answer:

Sample Answer: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.