Precalculus Test Out Practice Exam

Part 2 Test 2 Time: 3 hours


  1. Simplify the expression tex2html_wrap_inline108 to the from a+bi.
  2. Solve the equation tex2html_wrap_inline112 for x. List the exact answer(s), not approximation(s). A decimal answer is not an exact answer; it is an approximation. No credit will be given for an approximation.

  3. A farmer wants to construct a rectangular livestock pen so that he maximizes the area with 14,884 feet of fencing. Find the exact dimensions of the pen.

  4. Why are the following not functions?
  5. Find the exact solution(s) to the equation tex2html_wrap_inline122 . Find the extraneous solution.
  6. Find the exact solution(s) to the equation tex2html_wrap_inline124 . Find the extraneous solution.
  7. Find the exact non-real solutions(s), if any, to the equation tex2html_wrap_inline126 .
  8. Solve tex2html_wrap_inline128 for x.
  9. Solve tex2html_wrap_inline132 for x.
  10. Find the exact vertex of the parabola tex2html_wrap_inline136 . (No decimals)
  11. Find an equation of the parabola that has a vertex at (8,3) and passes through the point (4,1).
  12. Find the maximum height of a ball that follows the path defined by the equation tex2html_wrap_inline138 .
  13. Find an equation of a polynomial of degree 10 that has 3+i as a zero.
  14. Find the zeros of the polynomial tex2html_wrap_inline142 .
  15. Divide tex2html_wrap_inline144 by x-6. What is the remainder?
  16. What is the largest rational (exact) zero of the polynomial

    displaymath102

  17. How many real zeros does the polynomial tex2html_wrap_inline148 have?
  18. Find an equation of the slant asymptote to the graph of

    displaymath103

  19. Is tex2html_wrap_inline150 a zero of the polynomial

    displaymath104

  20. Find the inverse of the function tex2html_wrap_inline152 . If the domain needs to be restricted, state such a restricted domain. If the domain does not need to be restricted, explain.

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Wed Jul 9 15:28:30 MDT 1997

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