Below is the following questions function f with real coeffi

Below is the following questions function f with 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. (-infinity, -8) (-6, -2) (-6, 3) (3, 7) (7, 9) (9, infinity) (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. 4 5 6 7 8 9

Solution

a) decreasing (-infinity,-8),(-6,-2),(3,7),(9,infinity)

b) local maxima at x = -6,3,9

c) negative as at very high value of x f(x) is negative

d) 3 maxima and 3 minima so for atleast 6 values df/dx = 0

possible degrees are 7,8 and 9