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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