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 of a function on an interval is a point where the function value is greater than or equal to the function values at all nearby points within that interval.

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

We look at the \(y -\) values of the points on the graph within the \(x -\) interval \([-3,1.5]\). The points given (or to be considered from the graph) have \(y -\) values: for \(x=-2.5,y = 0\); for \(x = 0,y=0\); for \(x=2,y = 0\) (but \(x = 2
otin[-3,1.5]\)); for \(x=-1.6,y = 56\) (and \(-1.6\in[-3,1.5]\)); for \(x=0.8,y=-11.4\).

Since \(56>0>-11.4\)

Answer:

\(56\)