## Precalculus Practice Test Out Exam

Part 1 Test 3 Time: 1 hour

1. Find the midpoint of the line segment joining the points (-7,-4) and (2,8).

2. Find the distance between the points (-7,-4) and (2,8).

3. Find the standard form of the equation of the circle with center (3,-2) and solution point (-1,1).

4. Find the slope of the line passing through the points (-7,-4) and (2,8).

5. Find the slope of the line represented by the equation 7x-6y-30=0.

6. Solve the equation .

7. Find the x-intercept of the graph of the equation 2x+3y=6.

Answer: e) None of the above.

8. Find the x-coordinate of the point of intersection of the lines 2x-3y=-5 and 4x-y=5.

9. Solve . List the rational solutions.

10. Solve . List the largest solution.

11. Solve . List the solutions, if there is more than one solution, add all the solutions.

12. Solve .

13. Solve .

14. Solve .

15. Solve .

16. With respect to the graph of the function , which of a, b, or c indicates a horizontal shift?

17. Solve .

18. Determine the interval(s) where the graph of is negative.

Answer: e) None of the above.

19. Solve .

20. Solve .

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

For question 22-25, use the function

22. Evaluate f(-6).

23. Simplify f(t-3).

24. Simplify the difference quotient .

25. Find the domain of f(x).

26. If the zero of the graph of the function f(x) is 7, what is the zero of the graph of the function f(x-10)?

27. Given f(x)=x+2 and , find .

28. Find the inverse of the function .

29. Which of the following functions is a one-to-one function?

30. Given the functions and , find the domain of the composite function .