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1. (10 pts) Determine whether the equation defines y as a function of x. If it does not, show/explain why not.

2. (5 pts) Determine whether the given function is linear or nonlinear. If it is linear, determine the slope.

x | y = f (x)
-2 | 1
-1 | 3
0 | 5
1 | 7
2 | 9

3. Let in the following:

a. (5 pts) Determine the slope and y-intercept of f.

b. (5 pts) Use the slope and y-intercept to graph f here:

c. (5 pts) Determine the average rate of change of f.

d. (5 pts) Is f is increasing, decreasing or constant?

4. (5 pts) The velocity v of a falling object on the moon is directly proportional to the time t of the fall. If, after 2 seconds, the velocity of the object is 8 feet per second, what will its velocity be after 3 seconds? .

5. Let .

a. (5 pts) Find the zeros of f by factoring.

b. (5 pts) Find the zeros of f by completing the square.

c. (5 pts) Find the zeros of f by using the quadratic formula.

6.

a. (5 pts) Find the zeros of f(x) using the Square Root Method.

b. (5 pts) What are the x-intercepts of the graph of ?

7. (10 pts) Graph . I expect to see all of the following information on (or next to) your graph. You may use completing the square or the method.:

i. vertex

ii. axis of symmetry

iii. y-intercept

iv. x-intercep(s), if any

v.domain

vi.range

vii.interval(s) of increase

viii.interval(s) of decrease

8. Consider the quadratic function .

a. (5 pts) Compute the discriminant for h .

b. (5 pts) Based on your answer to part a., describe the nature of the zeros of h . In other words, state how many zeros h has, and whether they’re real or nonreal.

9. (5 pts) Solve . Express your answer in both set-builder and interval notation.

10. (5 pts) Solve . Express your answer in both set-builder and interval notation.