Question

Which point is the best approximation of the relative maximum of the polynomial function graphed below?

(-2.1 , 17.2)
(-1.1 , 14.8)
(-2.3 , 17.9)
(-1.4 , 16.9)

Answer 1

(-1.4,16.9)

Explanation:

Answer 2

The best approximation is the point
`(-1.4, 16.9)`

Explanation:

we know that

Observing the figure

The x-coordinate of the relative maximum belong to the interval ---->
`(-2, -1)`

The y-coordinate of the relative maximum belong to the interval ---->
`(15, 20)`

see the attached figure to better understand the problem

therefore

The best approximation is the point
`(-1.4, 16.9)`