Problems 1 through 6 refer to the following functions:
,
,
, ![]()
1. Determine the maximum number of relative extrema for each polynomial.
f: 3, g: 4, h: 3, p: 2
2. Determine the number of possible positive and negative zeros for each polynomial.
,
,
, ![]()
|
|
f |
g |
h |
p |
|
pos |
3 or 1 |
1 |
0 |
0 |
|
neg |
1 |
1 |
0 |
3 or 1 |
3. Determine whether each polynomial is even, odd, or neither.
f: neither, g: odd, h: even, p: neither
4. List the possible rational zeros for each polynomial.
![]()
5.
Find the zeros of
.


![]()
6.
Graph
.

7.
Graph
and determine its
asymptotes.

is a slant (oblique)
asymptote
is a vertical
asymptote

8.
Graph
and determine its
asymptotes.
is a horizontal
asymptote
is a vertical
asymptote and
is a discontinuity

9.
Solve
.

(45 is an extraneous
root)
10.
Solve
.

11.
Solve
to the nearest
hundredth.
Solve graphically
to find![]()

12.
Decompose
into partial
fractions.

13.
Decompose
into partial
fractions.
