Precalculus Practice Exam

Part 2 Test 6 Time: 1 hour

  1. Find the oblique(slant) asymptote for the graph of tex2html_wrap_inline91 Sketch the graph of this function.


    Answer: The equation for the slant asymptote is y=x-2.

  2. Find all vertical and horizontal asymptotes for the graph of tex2html_wrap_inline95 Graph the function.


    Answer: The vertical asymptotes are x=0, and x=6. The horizontal asymptote is y=0.

  3. Find the real and complex zeros of tex2html_wrap_inline103 .


    Answer: The three zeros are

    displaymath81

  4. Given that -5 is a zero of tex2html_wrap_inline107 , find the other zeros.


    Answer: The three zeros are:

    displaymath82

  5. Solve for tex2html_wrap_inline109


    Answer: The solutions are all numbers in the interval

    displaymath83

  6. Write tex2html_wrap_inline111 as a partial fraction decomposition.


    Answer:

    displaymath84

  7. Restrict the domain of tex2html_wrap_inline113 so that its inverse exists and then find the inverse.


    Answer: The intervals tex2html_wrap_inline115 , or tex2html_wrap_inline117 , are the biggest intervals which will work. If we restrict to the interval tex2html_wrap_inline119 , the inverse function is given by

    displaymath85

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Wed Jul 2 16:35:40 MDT 1997

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