1. find

2. Find the domain of D: All real numbers

3. Find the domain of

4. Find the domain of

5.Find the domain, range and intercepts for D: [0, 4]R: [0, 3]Int: (0, 0)

6. If and f(2) = 5, find C.

7.Given f(x) = 2x and g(x) = 4x a. Find (f · g)(x) and find the domain 8x 5 + 2x x All reals b. Find (f/g)(2) 2(4) + 3 / 4(8) + 1 = 11/33 = 1/3

8.Given f(x) = -3x + 1 find f(x + h) – f(x) h -3

9. (a) Find the domain and range D: [- π, π ]R: [-1, 1] (b) Increasing: Decreasing: (- π, 0 ) (0, π) (c) Even, odd or neither?Even (d) Local max, min?Max (0, 1)

10.Given find: a. average rate of change from -3 to b. Find the equation of the secant line from -3 to 1 y = -2x + 4

11. Given f(x) = 2x 2 – x find: a. IS the point (1, 1) on the graph? Yes b. List the x intercepts: ( 0. 0) (1/2, 0)

12. Determine algebraically whether the following graph is even, odd, or neither: F(x) = x Neither.

13. f(x) = -0.4x x + 3x – 2 (-4, 5). What intervals are you increasing? (-1.16, 2.16)

14. Given f(x) = x + 1 x < 0 x 2 x > 0 a. Graph b. Find domain and range All reals c. Is the graph continuous? Yes

15. Write a definition for: F(x) = x -3 < x < 0 5 x > 0

16. Sprint PCS offers a monthly cellular phone plan for $ It includes 450 anytime minutes and charges $0.45 per minute for 100 additional minutes and $0.40 per minute for any minutes after that. Develop a model that relates monthly cost. F(x) = < x < x 450< x < (100) +.40x x > 550

17. f(x) = ½ (x – 1) 2 – 3 find: a. Basic function y = x 2 b. State shifts: vert. shrink, right 1, down 3 c. Graph:

18. f(x) = - +1 find: a. Basic function y = b. State shifts: flip x, left 2, up 1 c. Graph:

19. If (4, 2) is a point on the graph of f(x), find the new point if f (x – 2) (6, 2)

20. Suppose the x intercepts of the graph are -3 and 2. Then the x – intercepts of the graph y = 2f(x) are: -3, 2

21. A rectangle has one vertex in quadrant 1 on the graph of y = 10 – x 2, another at the origin, one on the positive x axis and one on the positive y axis. a.Express the area A of the rectangle as a function of x. A(x) = x(10 – x 2 ) = 10x – x 2

22. A open box with a square base is made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides. Express the volume of the box as a function of the length x of the side of the square cut from each corner. V(x) = (30 – x)(30 – x) x = 900x – 60x 2 + x 3