Name: 
 

Relations and Functions



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1 

Make a mapping diagram for the relation.
{(–3, 3), (1, –6), (2, 2), (5, –5)}
a
mc001-1.jpg
c
mc001-3.jpg
b
mc001-2.jpg
d
mc001-4.jpg
 

 2 

Use the vertical-line test to determine which graph represents a function.
a
mc002-1.jpg
c
mc002-3.jpg
b
mc002-2.jpg
d
mc002-4.jpg
 

 3 

For mc003-1.jpg, mc003-2.jpg.
a
–19
b
1
c
–21
d
21
 

 4 

Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function.
(3.2, 5.2), (–1.8, 5.2), (–4.8, 3.2), (–4.8, –2.8)
a
mc004-1.jpg
Domain: {–4.8, –1.8, 3.2}
Range: {–2.8, 3.2, 5.2}
The equation is a function.
c
mc004-3.jpg
Domain: {–4.8, 5.2, 3.2}
Range: {–2.8, 3.2, –1.8}
The equation is not a function.
b
mc004-2.jpg
Domain: {–2.8, 3.2, 5.2}
Range: {–4.8, –1.8, 3.2}
The equation is a function.
d
mc004-4.jpg
Domain: {–4.8, –1.8, 3.2}
Range: {–2.8, 3.2, 5.2}
The equation is not a function.
 

 5 

Find the value of f(4) and g(–10) if f(x) = –8x mc005-1.jpg 8 and g(x) = 2x2 – 22x.
a
f(4) = –24
g(–10) = –2208
c
f(4) = 80
g(–10) = 8
b
f(4) = –40
g(–10) = 420
d
f(4) = –16
g(–10) = 102
 



 
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