Precalculus Practice Exam

Part 2 Test 3 Time: 1 hour


  1. The height of a projectile shot vertically upward from the ground with an initial velocity of 128 feet per second is given by the formula tex2html_wrap_inline81 where t equals the time in seconds and h(t) equals the height above the ground at time t. What is the maximum height attained by the projectile?


    Answer: The maximum height attained by the projectile is 256 ft.

  2. Find a polynomial function with real coefficients that has 3 and 1+i as zeros.


    Answer:

    displaymath69

  3. Solve the following inequality for x:

    displaymath70


    Answer: The solutions for x are contained in the intervals tex2html_wrap_inline91 .

  4. Find all the real zeros of the polynomial

    displaymath71


    Answer: The solutions are: x=1, x=2, and tex2html_wrap_inline93 .

  5. Given the function tex2html_wrap_inline95 where a, b, c, d, e and f are integers and a>0,

  6. Find all vertical and horizontal asymptotes for the graph of the following function and graph the function.

    displaymath72


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

  7. Find the partial fraction decomposition for

    displaymath73


    Answer:

    displaymath74

  8. Find the quadratic function whose graph has its vertex at (-1,8) and passes through the point (1,-4).


    Answer: The function is tex2html_wrap_inline131 .

  9. Sketch the graph of tex2html_wrap_inline133 , showing clearly all x-intercepts and y-intercepts.


    Answer:


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Mon Jun 30 12:25:36 MDT 1997

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