Question

over what interval is the function nonlinear? -2 < x < 2 -5 < x < 2.5 0 < x < 2.5 -5 < x < 0

Explanation:

Step1: Define linear/nonlinear graphs

A linear function forms a straight line; a nonlinear function has a curved graph.

Step2: Analyze each interval

• For $-5 < x < 0$: The graph is a straight line (linear).
• For $0 < x < 2.5$: The graph is a curve (nonlinear).
• For $-2 < x < 2$: Part is straight, part is curved, not fully nonlinear.
• For $-5 < x < 2.5$: Includes linear and nonlinear sections, not fully nonlinear.

Answer:

$0 < x < 2.5$