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 (or collinear points), meaning the rate of change (slope) between consecutive points is constant.

Step2: Check slope between points

For the given points, calculate the change in \( y \) over change in \( x \) (\( \frac{\Delta y}{\Delta x} \)) between consecutive points. Observing the graph, the points lie on a straight line (collinear), so the slope is constant.

Answer:

The function is linear.