Page 1
1.
The following table gives values for a function y=f(x).
x
2
3
4
5
6
f(x)
10
–10
–3
5
–10
Evaluate f(5).
2.
Use the graph to evaluate f(4).
A)
–1
B)
–3
C)
0
D)
–3.5
3.
The following table gives values for a function y=f(x).
x
–2
–1
0
2
3
f(x)
–1
–4
0
–6
–9
For what value(s) of x does f(x)=–9 ?
4.
The following table gives values for a function y=f(x).
x
6
8
9
11
13
f(x)
4
1
6
6
9
For what value(s) of x does f(x)=6 ?
A)
9 and 11
B)
4
C)
11
D)
6
Page 2
5.
Solve for y as a function of x and rewrite using
()fx
notation.
– 4 –6xy=
A)
( ) –6 –f x x=
B)
31
( ) – –
24
f x x=
C)
( ) –6 +f x x=
D)
31
( ) +
24
f x x=
6.
Find the domain of the function,
2
( ) 8 – 7 –12f x x x=
7.
Find the domain of the function,
( ) 10 –17f x x=
.
Write your answer in interval notation using fractions.
8.
Find the domain of the function,
( ) 17 –10f x x=−
.
Write your answer in interval notation using fractions.
9.
Which two values are excluded from the domain of the function below?
2
–2
() – 7 + 6
fx xx
=
Give the values in order from smallest to largest.
Page 3
10.
The following grid shows the graph of the function,
()fx
.
Find the range of the function.
A)
)
2,
B)
( )
,−
C)
–2,4
11.
The following grid shows the graph of the function,
()fx
.
Find the range of the function.
Page 4
12.
The following grid shows the graph of the function,
()fx
.
Find the range of the function.
A)
–5,5
B)
( )
,−
C)
(
,5−
13.
The following grid shows the graph of the function,
()fx
.
Find the range of the function.
Page 5
14.
The following grid shows the graph of the function,
()fx
.
Find the range of the function.
A)
( )
,−
B)
–4,8
C)
2,7
15.
The following graph shows the populations (in thousands) of two cities, City 1 and City
2.
Find the range of population for City 1.
A)
30,000 , 60,000
B)
0 , 70,000
C)
10,000 , 80,000
D)
20,000 , 70,000
10
20
30
40
50
60
70
80
1940 1950 1960 1970 1980 1990 2000 2010
City 1 City 2
Page 6
16.
Solve the following equation for y in terms of x and then express in f(x) form.
6x(8 – x) = 3x – y
17.
Solve the following equation for y in terms of x and then express in f(x) form.
5(y – 2) = 4y + 2x(x + 3)
18.
Find the domain for this function. Express the domain in interval notation.
–2 3
() –4
x
fx x
+
=
19.
Find the domain for this function. Express the domain in interval notation.
–8 5
() 36
x
fx x
−
=+
20.
Find the domain for this function. Express the domain in interval notation.
( ) 3 9f x x=+
21.
The area of a circle is described by the function
2
Ar
=
, where r is the radius of the
circle. Find the area of a circle with radius 6.
A)
2
B)
4
C)
3
D)
36
22.
If Fancis pays 23% of each paycheck for payroll deductions, which function would
properly describe her take-home pay, T, as a function of her gross pay, p?
A)
T = 0.23 p
B)
T = 23 p
C)
T = (1 – 23) p
D)
T = (1 – 0.23) p
23.
The following table gives the median salary of an employee at Gossnell, Inc. for various
years of seniority.
Years of Seniority
1
2
3
4
5
Median salary
$29,899
$32,227
$34,396
$35,386
$37,291
Which variable would be used as the output of the function?
Page 7
24.
Missy’s excavating charges a set-up fee of $225.00 plus an additional $70.00 for each
hour on the job. Write a function to express the charge (C) for a job as a function of the
hours (h) required to complete the job.
25.
Find f(–4) for the function f(x) = –4x2 – 3x + 6
26.
Find the range of this function. Express the range in interval notation.
Page 8
Answer Key