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 (non - curved), following \(y = mx + b\) (slope - intercept form), where \(m\) is slope and \(b\) is y - intercept.

Step2: Analyze the given graph

The graph in the problem is a straight line (it has a constant slope, as we can see from the grid - like coordinate system, the line does not curve at all). So it satisfies the property of a linear function's graph.

Answer:

The function is linear.