# Inferring properties of a polynomial function from its graph

**Question description**

Below is a graph of a polynomial function ƒ with real coefficients. Use graph to answer following questions about ƒ. All local extreme of ƒ are shown on graph.

a. the function is decreasing over which intervals? Choose all that apply. 1. (-∞,-5) 2. (-5,-3)

3. (-5,0) 4. (0,3) 5. (6,8) 6.(8,∞)

b. The function f has local maxima at which x-values? If there is more than one value, separate with comas.

c. What is the sign of the leading coefficient of? 1. positive 2. negative or 3. not enough info

d. Which of the following is a possibility for the degree of f? Choose all that apply. a.4 b.5 c.6 d.7 e.8 f.9

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