## Precalculus Test Out Practice Exam

Part 2 Test 3 Time: 3 hours

1. Find a rational function with vertical asymptotes at and a horizontal asymptote at y=3.
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

2. Find the slant asymptote to .
a)
f(x)=x+5.
b)
f(x)=2x-1.
c)
.
d)
x+2.
e)
None of the above.

3. Find the equation of a polynomial with zeros x=3 and x=3+2i.
a)
.
b)
.
c)
.
d)
.

4. Find all the real zeros of the polynomial . What is the largest rational zero?
a)
1.
b)
-1.
c)
3.
d)
.
e)
None of the above.

5. Divide by . What is the quotient?
a)
3x-2.
b)
3x+2.
c)
7x+1.
d)
7x-3.
e)
None of the above.

6. Multiple and write the result in standard form: (10-8i)(2-3i).
a)
20-24i.
b)
12-11i.
c)
-4-46i.
d)
48-46i.
e)
None of the above.

7. The path of a ball is given by

where y is the height in feet and x is the horizontal distance in feet. Find the maximum height of the ball.

a)
905 feet.
b)
50 feet.
c)
30 feet.
d)
800 feet.
e)
None of the above.

8. Find the exact vertex of the parabola .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

9. Find the constant in the equation of the parabola with vertex (3,4) with point (1,8).
a)
13.
b)
1.
c)
-14.
d)
8.
e)
None of the above.

10. What is the difference between the graphs of f(x) and

a)
The graph of g(x) is the graph of f(x) shifted to the right 4 units, and up 3 units.
b)
The graph of g(x) is the graph of f(x) stretched downward 4 units, and 3 units to the right.
c)
The graph of g(x) is the graph of f(x) shifted to the left 4 units, and up 3 units.
d)
There is not enough information to answer this question.
e)
None of the above.

11. What is the remainder when you divide using synthetic division?
a)
-13.
b)
3.
c)
35.
d)
-19.
e)
None of the above.

12. Find the upper bound of the zeros of using synthetic division.
a)
15.
b)
1.
c)
3.
d)
5.
e)
None of the above.

13. Simplify and write in standard form a+bi: . Find the value of a.
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

14. How many real solutions does have?
a)
1.
b)
2.
c)
3.
d)
4.
e)
None of these.

15. Find the domain of the function .
a)
.
b)
(-1,1).
c)
All real numbers except .
d)
.
e)
None of the above.

16. Find the horizontal asymptote of the function .
a)
.
b)
y=3.
c)
.
d)
y=-1.
e)
None of the above.

17. Find the vertical asymptote to the right of the x-axis of the function .
a)
y=3.
b)
.
c)
x=1.
d)
.
e)
None of the above.

18. Without using a calculator, approximate the value of at x=10,000,000,000.
a)
30,000,000,000
b)
29,999,999,999
c)
9
d)
3
e)
None of the above.

19. Let x be the amount (in hundredths of dollars) a company spends on advertising, and let P be the profit, where . How much advertising will yield a maximum profit?
a)
\$43,000.
b)
\$ 2,000.
c)
\$63,000.
d)
\$ 1,000.
e)
None of the above.

20. Given , find .
a)
.
b)
.
c)
.
d)
1.
e)
None of the above.

21. Is a circle a function?
a)
No.
b)
Yes.
c)
d)
Yes, if the center is at the origin.
e)
None of the above.

22. Is a parabola a one-to-one function?
a)
No.
b)
Yes.
c)
Depends on the axis of symetry.
d)
Yes, if the vertex is at the origin.
e)
None of the above.

23. The formula represents the volume of a cone. Find x in terms of the other variables.
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

24. Factor . What is the sum of the factors?
a)
3x-9.
b)
3x+9.
c)
.
d)
.
e)
None of the above.

25. On what interval(s) is the function decreasing?
a)
.
b)
.
c)
.
d)
.

e)
None of the above.