Question

Below is the graph of a polynomial function with real coefficients

(a) The function f is increasing over which intervals? Choose all that apply.
D(-0, -8)
O (-5,-2) O (-8, -2) O (-2,
2) (2,5)
O (5, 0 )
?
(b) The functionfhas local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply.
4
5
6

Please help if you can thank you

Answer 1

9514 1404 393

Answer:

(a) (-∞, -8), (-5, -2), (2, 5)

(b) -8, -2, 5

(c) negative

(d) 6

Explanation:

(a) The function is increasing on intervals where the graph slopes upward left-to-right. Those are (-∞, -8), (-5, -2), and (2, 5).

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(b) The local maxima are at the right end of each interval on which the function is increasing: -8, -2, 5.

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(c) The function opens downward (∩), so has a negative leading coefficient.

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(d) There are three local maxima and two local minima (left end of an increasing interval), so a total o 5 turning points. The degree of the polynomial is at least one more than this: 6.