Alg.2 Multiple Choice Final Review
1.
2.
Which of the following is NOT true about logarithmic
functions?
a. Logarithms are used to solve an equation for
exponents.
b. A natural logarithm has base e.
a
c. log
= log a – log b.
b
d. The base of a common logarithm is any real
number except 1.
7.
If g ( x)  x and h( x)  x 3  1 , what is g (h(4)) ?
a. 5
b. 7
c.
11
d.
63
8.
In a certain population, the mean score on a test is 420.
The standard deviation is 105. If the distribution of scores
is normal, which of these scores is most likely to occur?
a. 540
b. 526
c. 385
d. 314
9.
If x  4 , the value of 4 x 2  ( x 0  3) 1 is
The graph of a certain function has a double root at x = 0
and a root at x = -3. This equation has degree at least
a. two.
b. three.
c. one.
d. cannot be determined from the information
provided.
1
3.
What value of x is not in the domain of the function
f ( x) 
a.
b.
c.
d.
4.
Using x  u 2v , which expression is equivalent to log x ?
2 log u  log v
a.
b. log 2u  log v
2 log u
c.
log v
d.
5.
x 2  3x  2
?
x4
–2
–4
4
0
2 log u log v
Find the zeros of f ( x)  2 x 2  5 x  2 .
a.  1 ,0  or (2,0)
2
b.
c.
d.
6.

(2,0) or (3,0)
(1,0) or (4,0)
 1 
 ,0  or (2,0)
 2 
Which fraction has a domain of all real numbers?
x 1
2
a.
x  12
b.
x2 1
x 1
c.
x2 1
d.
x 1
x2
2
x2 1
a.
b.
c.
d.
11
28
1
4
3
1
8
7
8
1
4
10. Find the solution(s) for
a.
x5
b.
x  5 or x  2
c.
d.
x  2
no solution
x  11  1  x .
x
11. The graph of the equation y   1  lies in Quadrants
4
a.
b.
c.
d.
I and IV
I and II
III and IV
II and III
1
12. If f ( x )  8 x , what is the value of f   ?
3
1
a.
2
b. 2
3
c.
8
d. 4
Alg.2 Multiple Choice Final Review
2
13. Use the rational function: f ( x)  x  x  8 . Find one of the
x2
solutions when f ( x)  2 .
1
2
a.
x
b.
c.
d.
x  2
x3
x4
14. If f ( x )  8 x , when is f (x)  1.682?
a. 33.038
b. 0.250
c. 3.999
d. 0.210
15. Write the linear function that passes through the points
f (1)  2 and f (4)  13 .
a.
f ( x)  3x  5
f ( x)  3x  1
b.
c.
f ( x)  3x  11
d.
f ( x)  3x  1
2
3
16. The value of  64 is
a. 16
b. –16
1
c.
16
d.
512
17. If a fair coin is tossed four times, the probability of four
heads is
1
a.
16
b.
2
16
c.
3
16
d.
4
16
18. What is the probability of getting exactly 4 correct answers
when you guessed randomly on a quiz of 5 true-false
questions?
a. 0.1875
b. 0.1563
c. 0.043
d. 0.0313