Question

what is the local maximum over the interval -3, 1.5 for the graphed function? 0 56 -11.4 2

Explanation:

Step1: Understand local maximum

A local maximum on an interval is the highest point (maximum y - value) within that interval on the graph of the function.

Step2: Analyze the interval \([-3, 1.5]\)

We look at the graph of the function within the interval from \(x=-3\) to \(x = 1.5\). The points on the graph within this interval include \((-2.5,0)\), \((-1.6,56)\), \((0,0)\), and \((0.8,- 11.4)\) etc. Among these points, the y - value of the point \((-1.6,56)\) is 56, which is higher than the y - values of the other points within the interval \([-3,1.5]\).

Answer:

56 (corresponding to the option "56")