Below is the graph of a polynomial function fwith real coefficients. Use the gra

Question

Below is the graph of a polynomial function fwith real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph. (a) The function f is decreasing over which intervals? Choose all that apply (b) The function f has 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

Explanation / Answer

a) Interval of decrease: (-7, -5) U (-2, 3) U (6,8)

option 2,3 and 5 is correct

b) Local maximum at x= -7, -2, 6

c)sign of leading co-efficient of f : negative

The graph would be 5 degree polynomial as the graph cuts x axis 5 times. Since, degree of polynomial is odd, graph rises to the left and falls to the right, sign of leading co-efficient must be negative.

d)5

The graph cuts x-axis 5 times.

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