1.) Find the average rate of change of f(x)=3x^2+1 over each of the following intervals.

(a) From 1 to 1

(b) From 2 to 0

(c) From 1 to 2

2.) The average cost per hour in dollars of producing x riding lawn mowers is given by the following. C(x)=0.8x2+30x270+2900x

(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost.

(b) What is the minimum average cost?

3.) If f(x)=int(2x), find:

a.) f(3.3)

b.) f(2.9)

c.) f(1.2)

4.) Write the function whose graph is the graph of y=x^2,

but is shifted to the right 4 units.

5.) write the function whose graph is the graph of y=x^3, but is shifted down 9 units.