Question

does this graph represent a linear or nonlinear relationship? nonlinear linear

Explanation:

Step1: Recall linear relationship definition

A linear relationship is represented by a straight line (or piecewise straight lines with constant slope in each segment) and has a constant rate of change (constant slope).

Step2: Analyze the given graph

The graph is a V - shaped graph, which is composed of two straight - line segments. Each segment has a constant slope. The left - hand segment has a negative slope (going from left to right, it is decreasing) and the right - hand segment has a positive slope (going from left to right, it is increasing). Since each part of the graph is a straight line (even though it is piecewise), it represents a linear relationship (specifically, it is the graph of an absolute - value function, which is a piecewise - linear function with linear segments).

Answer:

Linear (the purple button labeled "Linear")