Chapter 5

Functions/Domain/Range

1. Which set of ordered pairs does not represent a function?

i)

ii)

iii)

iv)

A function assigns exactly one value to

each input(each value of x can only

have one value of y)

2. Which of these graphs represents a function?

i)

ii)

iii)

iv)

x

y

x

y

x

y

x

y

FunctionNot a Function

Not a Function

Not a Function

3. For the function , determine83)( xxf

8)2(3)2( f

)2(f

86

14

4. For the function , determine x when92)( xxg

9215 x

15)( xg

99 x26

22x 3

g(x) = –2x + 3

0 2 4–2–4 x

2

4

–2

–4

y

5. This is a graph of the function . Determine the range value when the domain value is 2.

32)( xxg

Domain = xRange = y

Range value = -1

6. For a service call, an electrician charges a $65 flat fee, plus $45 for every 30 min worked. Determine the rate of change of this linear relation.

iabletindependanchange

iabledependantchangeChangeofRate

var

var

min30

45$

hour1

90$

Rate of Change = $90 per hour (cost goes up $90 for each hour)

7. This graph represents a 150-L hot-water tank being filled at a constant rate. Determine the rate of change of the relation.

Time (min)

Vo

lum

e (L

)

Filling a Hot-Water Tank

(25, 75)

(50, 150)

0 10 20 30 40 50 t

25

50

75

100

125

150

175V

Rate of Change =

150 – 75 50 – 25

3 L/min=

xinchange

yinchange

=7525=

Time (min)

Dis

tan

ce f

rom

ho

me

(km

)

Joshua's Bike Ride

O

A

B

C D

E

20 40 60 80 100 120

1

2

3

4

5

8. Joshua went on a bike ride. During the ride, he stopped to play at a park, as shown by line segment CD. How much time did Joshua spend at the park?

95 – 45

= 50 min

9. State whether the following are functions or not, and state the domain and range. Use or and

x

y

x

y

Is it a function? _____________ Is it a function? _____________Domain: __________________ Domain: ___________________Range: ____________________ Range: ____________________

No Yes(-, ) or x = All Real Numbers[-1, ) or y ≥ -1

9. State whether the following are functions or not, and state the domain and range. Use or and

Is it a function? _____________ Is it a function? _____________Domain: __________________ Domain: ___________________Range: ____________________ Range: ____________________

Yes[-5, ) or x ≥ -5

y = 2

Yes[-4, ) or x ≥ -4

0 2 4–2–4 x

2

4

–2

–4

y

y = f(x)0 2 4–2–4 x

2

4

–2

–4

–6

y