Polynomial Functions Review Worksheet
Polynomial Functions Review Worksheet KEY
Problems 1 through 6 refer to the following functions:
[pic], [pic], [pic], [pic]
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.
[pic], [pic], [pic], [pic]
| |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.
[pic]
5. Find the zeros of [pic].
[pic]
[pic]
[pic]
6. Graph [pic].
[pic]
7. Graph [pic] and determine its asymptotes.
[pic]
[pic] is a slant (oblique) asymptote
[pic] is a vertical asymptote
[pic]
8. Graph [pic] and determine its asymptotes.
[pic] is a horizontal asymptote
[pic] [pic] is a vertical asymptote and [pic] is a discontinuity
[pic]
9. Solve [pic].
[pic]
[pic] (45 is an extraneous root)
10. Solve [pic].
[pic]
11. Solve [pic] to the nearest hundredth.
Solve graphically to find[pic]
[pic]
12. Decompose [pic] into partial fractions.
[pic]
13. Decompose [pic] into partial fractions.
[pic]
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