Question

classify this function. graph of a piecewise linear function options: linear, non - linear

Explanation:

Step1: Recall linear function definition

A linear function has a constant slope (rate of change) and its graph is a straight line. But a piecewise linear function with different slopes (like a V - shape or a broken line with different linear segments) is non - linear overall because the slope changes.

Step2: Analyze the given graph

The given graph is a piecewise function made up of two linear segments (one increasing and one decreasing) with different slopes. Since the slope is not constant throughout the entire domain of the function, the function is non - linear.

Answer:

non - linear