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. a linear function has a constant rate of change, which makes a straight line on a graph. in a table, the x - values change by the same amount, and the y - values also change by the same amount. a nonlinear function does not have a constant rate of change; it makes a curved line on a graph. in a table, the x - values change evenly, but the y - values do not change evenly. sample response: 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. what did you include in your response? check all that apply. a linear function has a constant additive rate of change. a nonlinear function does not have a constant additive rate of change. the graph of a linear function is a straight line, while a nonlinear graph is curved. the dependent variable in a linear table has a constant additive rate of change as the

Explanation:

A linear function has a constant additive rate of change. Its graph is a straight - line and in a table, the dependent variable changes at a constant rate as the independent variable increases by 1. A nonlinear function does not have a constant rate of change, its graph is curved and in a table, the dependent variable does not change at a constant rate as the independent variable changes.

Answer:

A linear function has a constant additive rate of change.
The graph of a linear function is a straight line.
A nonlinear function does not have a constant additive rate of change.
The graph of a nonlinear function is curved.