Precalculus Practice Exam

Part 1 Test 4 Time: 1 hour

  1. Is the following statement true? Carefully explain your reasoning:
    For any real numbers a and b,

    displaymath47

  2. Use your calculator to solve the following equation graphically. You may need to adjust the range on the calculator. Round your answers to two decimal places.

    displaymath48

  3. The function tex2html_wrap_inline55 is neither even nor odd. For the following questions, be sure to show all work and reasoning.
    a.
    Is there a real number K such that the new function f(x+K) is an even function? If so, find K. If not, explain why not.
    b.
    Is there a real number M such that the new function f(x+M) is an odd function? If so, find M. If not, explain why not.

  4. Consider the functions tex2html_wrap_inline69 and tex2html_wrap_inline71 . Compute tex2html_wrap_inline73 . What is the domain of tex2html_wrap_inline75 ?
  5. For each of the following functions, determine whether it has an inverse. If so, find it. If not, explain why not.
    a.
    tex2html_wrap_inline77 .
    b.
    tex2html_wrap_inline79 .
    c.
    tex2html_wrap_inline81 .

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Mon Feb 9 14:34:20 MDT 1998

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