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.