Name: __________________
1
Class:
Use the vertical line test to determine whether each graph represents a function y = f(x). Match each statement in the left column
with the corresponding graph(s) in the right column.
Graph represents a function
y = f (x )
Graph does not represent a function
y = f (x )
Problem code:
copc06.03.02.06
PAGE 1
Date: _____________
Name: __________________
2
Class:
Specify the domain and range of the given function. (The axes are marked in one a. domain: [
[
[
Problem code:
copc06.03.02.07m
4, 4] ; range:
3, 3]
b. domain: [
PAGE 2
Date: _____________
4, 4]
c. domain: [
[
3, 2] ; range:
d. domain: [
[
3, 2] ; range:
4, 2]
3, 2]
unit intervals.)
e. domain: [
[
4, 4] ; range:
4, 5]
5, 5] ; range:
Name: __________________
Date: _____________
Specify the domain and range of the given function. (The axes are marked in one 3
Domain:
Range:
Problem code:
copc06.03.02.10
PAGE 3
Class:
unit intervals.)
Name: __________________
4
Class:
Specify the domain and range of the given function. (The axes are marked in one a. domain: [
{
1} b. domain: [
{
1} c. domain: [
Problem code:
copc06.03.02.12m
PAGE 4
Date: _____________
unit intervals.)
2,4] ; range:
{2 } {4 }
d. domain: [
2, 0) [ 0, 2) [2, 4) ; range:
{2 } {4 }
e. domain: [
2,4) ; range: [
[
1, 4]
{
2, 0) ( 0, 2) (2, 4) ; range:
1, 4]
1} 2,4) ; range:
{2 } {4 }
Name: __________________
5
Class:
The following figure displays the graph of a function f.
Is f(0) positive or negative?
Find f(3).
Which is larger, f(3) or f(5)?
Find f(5) f(2) .
Find | f(5) f(2) | .
Write the domain of f using interval notation.
Write the range of f using interval notation.
Problem code:
copc06.03.02.17
PAGE 5
Date: _____________
Name: __________________
6
Set up a table and graph the function y = Problem code:
copc06.03.02.21bm
Date: _____________
x
2
+ 7.
a.
d.
b.
e.
c.
PAGE 6
Class:
Name: __________________
7
Set up a table and graph the function y = PAGE 7
Date: _____________
2/x .
a.
d.
b.
e.
c.
Problem code:
copc06.03.02.22am
Class:
Name: __________________
8
Set up a table and graph the function y = Problem code:
copc06.03.02.22bm
Date: _____________
x + 2.
a.
d.
b.
e.
c.
PAGE 8
Class:
Name: __________________
9
Class:
Sketch the graph.
y =
{
1
1
x
x
2
if if x 1 x < 1
1
a.
d.
b.
e.
..to be continued
PAGE 9
Date: _____________
Name: __________________
Class:
Date: _____________
continuation
c.
Problem code:
copc06.03.02.24m
PAGE 10
Name: __________________
Class:
Date: _____________
10 Sketch the graph.
C(x ) =
{
3
2x 3 if x < 1
2 x 3 if x > 1
a.
d.
b.
e.
c.
PAGE 11
Name: __________________
Problem code:
copc06.03.02.25m
PAGE 12
Class:
Date: _____________
Name: __________________
Class:
Date: _____________
11 Sketch the graph.
y =
{
|x | x
2
5
if x 0
5 if x > 0
a.
d.
b.
e.
c.
PAGE 13
Name: __________________
Problem code:
copc06.03.02.26m
PAGE 14
Class:
Date: _____________
ANSWER KEY
Homework 3.2 Math 3 Fall 2006, Bauerle
Graph represents a function y = f (x )
,
Graph represents a function y = f (x )
,
1.
Graph represents a function y = f (x )
Graph does not represent a function y = f (x )
5.
9.
positive ; 2 ; f ( 3 ) ; 3 ; 3 ; 2,5 ; 3,3
a
ANSWER KEY Page 1
2. d
3.
6. d
10. b
7. b
11. b
3,3 ;
3,3 )
4. e
,
8. e