Polynomial Functions Review Worksheet KEY

 

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.