An MS Word Version of this document...
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.