Precalculus Test Out Practice Exam

Part 1 Test 2 Time: 3 hours

  1. Find the equation of the line passing through the points (2,7) and (6,-5). Write the answer in the standard form of the line tex2html_wrap_inline86 , where a, b, and c are integers and a>0.

  2. Find the domain and the range of the function tex2html_wrap_inline90 .

  3. Find the inverse of the function tex2html_wrap_inline92 on the interval tex2html_wrap_inline94 .
  4. Find the midpoint of the line between the points (2,7) and (5,-5).

  5. Five gallons of a mixture is 60% water by volume. Determine the number of gallons of water that must be added to bring the mixture to 75% water.

  6. Factor the expression tex2html_wrap_inline96 completely over the set of rational numbers.

  7. Find the exact point(s) of intersection of the graphs of


  8. Rewrite the fraction


    as a simple fraction in reduced form.

  9. Find the exact distance between the two points (5,7) and (7,-5).

  10. What is the slope of a line:

  11. On what interval(s) is the function tex2html_wrap_inline102 increasing?

  12. Find the maximum value of the function tex2html_wrap_inline104 .

  13. Solve the equation tex2html_wrap_inline106 for x.

  14. If you shift the graph of tex2html_wrap_inline108 so that it is superimposed on the graph of f(x-5)+3, where will the shift take the point (1,-3) on the graph of tex2html_wrap_inline108 ?

  15. If tex2html_wrap_inline114 and tex2html_wrap_inline116 , find tex2html_wrap_inline118 . Simplify your answer.

  16. Solve the equation


  17. If (2,7) is a point on the graph of an even function, name one other point on the graph. If (3,-8) is a point on the graph of an odd function, name one other point on the graph.

  18. How can you tell from a graph of a function whether the function is one-to-one?

  19. Why can't you find the inverse of tex2html_wrap_inline108 without restricting the domain?

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Wed Jul 9 11:27:03 MDT 1997

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