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Topic
Mathematics
Study Set
Precalculus
Quiz 2: Functions and Their Graphs
Path 4
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Question 141
Multiple Choice
Given
f
(
x
)
=
{
−
2
x
 ifÂ
x
<
0
3
x
 ifÂ
x
≥
0
f(x) =\left\{\begin{array}{ll}-2 x & \text { if } x<0 \\ 3 x & \text { if } x \geq 0\end{array}\right.
f
(
x
)
=
{
−
2
x
3
x
​
 ifÂ
x
<
0
 ifÂ
x
≥
0
​
. Find the value(s) of x such that f(x) = 1. I.
x
=
−
1
2
x=-\frac{1}{2}
x
=
−
2
1
​
II.
x
=
1
2
x=\frac{1}{2}
x
=
2
1
​
III.
1
3
\frac{1}{3}
3
1
​
Question 142
Short Answer
Find the domain of
f
(
x
)
=
16
x
−
1
x
−
5
f(x)=\frac{16 x-1}{x-5}
f
(
x
)
=
x
−
5
16
x
−
1
​
. Write your answer as an interval or as the union of intervals.
Question 143
Short Answer
Find the domain of
f
(
x
)
=
x
−
34
x
−
36
f(x)=\frac{\sqrt{x-34}}{x-36}
f
(
x
)
=
x
−
36
x
−
34
​
​
. Write your answer as an interval or as the union of intervals.
Question 144
Short Answer
Find the domain of
f
(
x
)
=
2
−
∣
x
+
2
∣
f(x)=\sqrt{2-|x+2|}
f
(
x
)
=
2
−
∣
x
+
2∣
​
.
Question 145
Multiple Choice
Which of the following functions has domain
[
25
,
∞
)
[25, \infty)
[
25
,
∞
)
?
Question 146
Short Answer
Suppose that h is defined by
h
(
t
)
=
∣
t
∣
+
2
h(t)=|t|+2
h
(
t
)
=
∣
t
∣
+
2
. What is the range of h if the domain of h is the interval (1, 8]?
Question 147
Short Answer
Suppose that h is defined by
h
(
t
)
=
∣
t
∣
+
7
h(t)=|t|+7
h
(
t
)
=
∣
t
∣
+
7
. What is the domain of h if the range of h is the interval (10, 20]?
Question 148
Short Answer
Suppose that h is defined by
h
(
t
)
=
∣
t
∣
+
2
h(t)=|t|+2
h
(
t
)
=
∣
t
∣
+
2
. What is the domain of h if the range of h is the interval [11, 13)?
Question 149
Multiple Choice
Suppose that h is defined by
h
(
t
)
=
∣
t
∣
+
18
h(t) =|t|+18
h
(
t
)
=
∣
t
∣
+
18
. What is the range of h if the domain of h is the interval (1, 5]?
Question 150
Multiple Choice
Choose the function that is equal to
f
(
x
)
=
6
+
(
x
6
)
2
f(x) =6+\left(\frac{x}{6}\right) ^{2}
f
(
x
)
=
6
+
(
6
x
​
)
2
Question 151
Multiple Choice
Choose the function that is equal to
f
(
x
)
=
x
+
3
x
2
−
9
x
+
18
f(x) =\frac{x+3}{x^{2}-9 x+18}
f
(
x
)
=
x
2
−
9
x
+
18
x
+
3
​
Question 152
Multiple Choice
Choose the formula that is a function.
Question 153
Multiple Choice
Choose the table that represents a function.
Question 154
Short Answer
From the functionx
Evaluate f(12)