Question

question 1 of 10
which point is the best approximation of the relative maximum of the polynomial function graphed below?
(graph of a polynomial function is shown here, with a grid and axes. the graph has a relative maximum. below the graph: click here for long description
a. (-1.8, 15)
b. (-2.2, 15)
c. (-3.6, 17)
d. (-2.7, 16))

Explanation:

Step1: Identify relative maximum

A relative maximum is the highest point on a graph segment. The graph shows a peak between x=-5 and x=0.

Step2: Estimate coordinates

The peak’s x-coordinate is ~-2.7 (between -3 and -2), y-coordinate ~16 (between 15 and 20).

Step3: Match with options

Option D (-2.7,16) matches the estimated coordinates.

Answer:

D. (-2.7, 16)