## 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 , where a, b, and c are integers and a>0.

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

3. Find the inverse of the function on the interval .
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 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:
• parallel to 7x-21y+11=0 ?
• perpendicular to the line 7x-21y+11=0 ?

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

12. Find the maximum value of the function .

13. Solve the equation for x.

14. If you shift the graph of 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 ?

15. If and , find . 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 without restricting the domain?

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Wed Jul 9 11:27:03 MDT 1997