Below is the graph of a polynomial function f with real coefficients. Use the gr

Question

Below is the graph of a polynomial 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 increasing over which intervals? Choose all that apply. D. , ? (-co ,-2) (-2, 0) O (0, 3) O (0, 5) (5, 7) ] (7, co ) (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

the function is increasing over

( - infinity , -2 ) U ( 0 , 3 ) U ( 5 , 7 )

hence, option 1 , 3 , 5 are correct

b) function has local maxima at

x = -2 , 3 , 7

c) leading coefficient of f is

negative

d) possible degree is 4 , 6

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