Question

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.

Answer 1

Answer:

On a graph, it is easy to remember whether a function is linear or nonlinear. Nonlinear means the graph is not a straight line. The graph of a nonlinear function is a curved line. If it is straight, then it is linear. On a table, you can determine whether a function, in tabular form, is nonlinear by observing that the jump in y varies for each unit of change in x.

Step-by-step explanation:

This is NOT the sample response. Please do not use the sample response as it is not the actual answer and teachers may find out you are not using your own responses.

Answer 2

Answer:

Sample Answer:

A linear function has a constant rate of change, while a nonlinear function does not. For a table of values to be linear, the outputs must have a constant rate of change as the inputs increase by 1. On a graph, the function must be a straight line to be linear.