Question

the graph shows a function. is the function linear or nonlinear?

Explanation:

Step1: Recall linear function definition

A linear function's graph is a straight line (constant slope, linear relationship between \(x\) and \(y\)).

Step2: Analyze the given graph

The plotted points do not form a straight line. The slope between points changes (e.g., from \((0,1)\) to \((1, -2)\) vs. later points), so the relationship is nonlinear.

Answer:

nonlinear