Question1 Part 1: There are parts a - d for this question below. You aregiven data about the DERIVATIVE in the table shown.Answer each of the following questions in THIS textbox! Data shown on the below

x f ' (x)

-8 -48

-6 -18

-4 -2

-2 3

0 1

2 -3

4 -7

6 -6

8 4

10 26

12 65

a.On what interval(s) of x is f(x) increasing?How do you know?

b. On what interval is f(x) increasing AND also concave down?How do you know?

c. On what interval is f(x) decreasing AND also concave up?How do you know?

d. Between what values do you expect f(x) to be turning or flattening out?Why?What will be happening to f(x) at each of your points?Will it be flattening out?At a max?At a min?Explain your reasoning clearly!

Part 2:There are parts a - c for this question below.Answer part b in THIS textbox.Make sure you highlight your answers for part c in your table.

a. Create an clear graph for the data given.

b. Using one of the six functions,use Excel to find the function that best models this data.Explain why you chose the type of function you did.Round your coefficients to 3 decimal places, and make sure you show your function on the graph.

c.Using Excel and the model you found, find ALL the values where the following equation is true:f ' (x) = 0.Make sure that your answers match with those you projected would occur in Part 1.