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10
Functions
Functions
Statistics
Probability
Statistics
Probability
Inequalities
Inequalities
Complex
Numbers
Complex
Numbers
Exp
/
Logs
Exp
/
Logs
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If
f
(
x
) =
x
² – 4
x
+ 4,
find the value of
f
(–3).
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Answer
10 points
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25
10 points
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Which of the following
relations is a function?
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20 points
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Answer
1)
y
= |2
x
+ 1| + 5
2)
x
² +
y
² = 36
3)
x
= 3
20 points
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Choice 1
20 points
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Given:
g
(
x
) = 3
x
² – 2
x
+ 1
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Answer
find
g
(–
x
).
30 points
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3
x
² + 2
x
+ 1
30 points
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40 points
Find the domain of
Express answer in interval notation.
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Answer
f
(
x
) =
x
– 1
√
x
+ 3
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40 points
[
–
3,1)
U
(1,∞)
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Find the inverse of the
function
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50 points
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Answer
50 points
f
(
x
) =
x
x
+ 3
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50 points
f
-1
(
x
) =
3
x
–
1
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Five of twelve people will be
chosen to participate in a survey.
How many different ways can the
participants be chosen?
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10 points
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Answer
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10 points
12
C
5
= 792
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The lock on your new briefcase
uses three digits from 0 to 9. How
many different 3-digit combinations,
with no digit repeated, are possible?
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20 points
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Answer
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20 points
720
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Grades:
100, 95, 55, 85, 100, 75
For this set of grades, how many
grades are within one standard
deviation of the mean?
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30 points
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Answer
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30 points
5 scores
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Battery lifetime is
normally distributed
for large samples. The mean lifetime
is 500 days and the standard deviation is 61
days. To the
nearest percent
, what percent
of batteries have lifetimes longer than 561
days?
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40 points
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Answer
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40 points
16%
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Expressed as a fraction, what is
the probability of obtaining
exactly
eight heads in ten tosses of a fair
coin?
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50 points
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Answer
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50 points
45/1024
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What is the solution set
for the inequality
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Answer
10 points
| 2
x
+ 5 | + 7
>
2 ?
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10 points
All Real numbers.
(
–
∞,∞)
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What is the solution
for the inequality
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Answer
20 points
|
x
+ 3 |
<
5 ?
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20 points
–
8
<
x
<
2 or [
–
8,2]
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Answer
30 points
Solve:
4
x
+ 4
x
–
4
<
0
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30 points
–1
<
x
< 4 or [
–
1,4)
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Solve algebraically:
x
2
+ 8
x
+ 7 > 0
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Answer
40 points
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40 points
(–∞,
–7)
U
(–1,∞)
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–3 < |
x
– 2 | < 4
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Answer
50 points
Solve:
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50 points
–
2 <
x
< 6 or (
–
2,6)
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Simplify
i
7
.
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Answer
10 points
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10 points
–
i
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Simplify:
(4 + 10
i
) – (–12 + 20
i
)
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Answer
20 points
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20 points
16 – 10
i
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Simplify:
(3 + 2
i
)(4 + 5
i
)
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Answer
30 points
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30 points
2 + 23
i
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Express in simplest
a
+
bi
form:
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Answer
40 points
1 + 2
i
2 – 2
i
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40 points
–1 + 3
i
4
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If
Z
1
= 5 + 3
i
and
Z
2
= 2 – 4
i
,
find
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Answer
50 points
Z
1
Z
2
Z
1
+
Z
2
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50 points
84
38
25
25
i
–
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Solve for
x
:
9
3
x
= 81
x
–
4
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Answer
10 points
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10 points
–8
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Solve for
x
:
log
5
x
= 2
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Answer
20 points
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20 points
25
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Solve for
x
:
log(
x
) = log(1 –
x
)
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Answer
30 points
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30 points
x
= 1/2
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Solve for
x
to the
nearest hundredth
:
12
e
0.34
x
= 50
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Answer
40 points
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40 points
4.20
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Find the domain of
y
= ln(
x
+ 3)
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Answer
50 points
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50 points
(
–
3,∞)
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