MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Evaluate f(x) at the given value of x.
1)f(x)
=
3x

3; x
=

3A)

10B)11C)12D)

12Answer:D2)f(x)
=
x; x
=
425A)52B)25C)425D)225Answer:B3)f(x)
=
x2
+
3; x
=
9A)80B)86C)81D)84Answer:D4)f(x)
=
xx
+
3; x
=

11A)13B)118C)14D)

118Answer:B
Write a formula for the function described.
5)Function C computes the number of centimeters in x inches. (Hint: there are 2.54 centimeters in one inch.)A)C(x)
=
2.54xB)C(x)
=
x

2.54C)C(x)
=
x2.54D)C(x)
=
2.54xAnswer:D6)Function I computes the number of inches in x centimeters. (Hint: there are 2.54 centimeters in one inch.)A)I(x)
=
2.54xB)I(x)
=
2.54xC)I(x)
=
2.54

xD)I(x)
=
x2.54Answer:D7)Function F computes the number of square feet in x square yards.A)F(x)
=
9xB)F(x)
=
9

xC)F(x)
=
9xD)F(x)
=
x9Answer:A8)Function Y computes the number of square yards in x square feet.A)fY(x)
=
9xB)Y(x)
=
x

9C)Y(x)
=
x9D)Y(x)
=
9xAnswer:C9)Surveyors use the "link" as a unit of measure. Function i computes the number of inches in x links. (Hint: thereare 7.92 inches in one link.)A)i(x)
=
x
+
7.92B)i(x)
=
7.92xC)i(x)
=
7.92xD)i(x)
=
x7.92Answer:B
1
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10)Surveyors use the "link" as a unit of measure. Function l computes the number of links in x inches. (Hint: thereare 7.92 inches in one link.)A)l(x)
=
7.92xB)l(x)
=
7.92xC)l(x)
=
7.92

xD)l(x)
=
x7.92Answer:D11)Bob buys a car that gets 10 miles per gallon of gasoline. Function M computes the number of miles that Bob cantravel with x gallons of gasoline.A)M(x)
=
10xB)M(x)
=
x
+
10C)M(x)
=
10xD)M(x)
=
x10Answer:C
Write the function f as a set of ordered pairs. Give the domain and range of f.
12)f(

4)
=

3, f(0)
=
4, f(7)
=
8, f(10)
=
6A)f
=
{(

4,

3), (0, 4), (7, 8), (10, 6)}; D
=
{

4, 0, 7, 10}; R
=
{

3, 4, 6, 8}B)f
=
{(

3,

4), (4, 0), (8, 7), (6, 10)}; D
=
{

4, 0, 7, 10}; R
=
{

3, 4, 6, 8}C)f
=
{(

4,

3), (0, 4), (7, 8), (10, 6)}; D
=
{

3, 4, 6, 8}; R
=
{

4, 0, 7, 10}D)f
=
{(

3,

4), (4, 0), (8, 7), (6, 10)}; D
=
{

3, 4, 6, 8}; R
=
{

4, 0, 7, 10}Answer:A13)f(f)
=

6, f(g)
=

6, f(h)
=

6, f(i)
=

6A)f
=
{(

6, f), (

6, g), (

6, h), (

6, i)}; D
=
{

6}; R
=
{f, g, h, i}B)f
=
{(

6, f), (

6, g), (

6, h), (

6, i)}; D
=
{f, g, h, i}; R
=
{

6}C)f
=
{(f,

6), (g,

6), (h,

6), (i,

6)}; D
=
{f, g, h, i}; R
=
{

6}D)f
=
{(f,

6), (g,

6), (h,

6), (i,

6)}; D
=
{

6}; R
=
{f, g, h, i}Answer:C
Sketch the graph of f by hand.
14)f(x)
=

5x
+
3
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y5432112345
2
A)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y54321
12345
B)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5
y5432112345
C)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y543211234
5
D)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y
5432112345
Answer:D15)f(x)
=
14x

1
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y5432112345
3
A)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2
3 4 5y5432112345
B)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 
2 1 1 2 3 4 5y5432112345
C)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y5432
112345
D)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1
2 3 4 5y5432112345
Answer:D16)f(x)
=
x2

3
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y5432112345
4
A)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4
3 2 1 1 2 3 4 5y5432112345
B)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y54321
12345
C)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 
2 1 1 2 3 4 5y5432112345
D)
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y5432112
345
Answer:D17)f(x)
=
x
+
3
x5 4 3 2 1 1 2 3 4 5y5432112345x5 4 3 2 1 1 2 3 4 5y5432112345
5