Question

what is the sign of the rate of change of y between x = -5 and x = 1? negative zero undefined positive

Explanation:

Step1: Recall the concept of rate of change

The rate of change of \(y\) with respect to \(x\) is related to the slope of the function. If the function is increasing, the rate of change (slope) is positive; if it is decreasing, the rate of change (slope) is negative.

Step2: Analyze the graph between \(x = - 5\) and \(x=1\)

Looking at the graph, between \(x=-5\) and \(x = 1\), as \(x\) increases, \(y\) decreases.

Answer:

Negative