Question

Below is the graph of a polynomial function with real coefficients

Answer 1

9514 1404 393

Answer:

  (a) (-∞, -8), (-5, -2), (2, 5)

  (b) -8, -2, 5

  (c) negative

  (d) 6

Step-by-step 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.