## Precalculus Test Out Practice Exam

Part 1 Test 1 Time: 3 hours

1. Find the equation of the line passing through the points and . 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 and .

5. Three 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 and .

10. What is the slope of a line:
• parallel to 7x-6y+11=0 ?
• perpendicular to the line 7x-6y+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 ?

16. Solve the equation

17. Which of the following is an even function?

18. Which of the following is a one-to-one function?
• x=6
• y=7

19. Which of the following has an inverse without restricting the natural domain?
• x=6
• y=7