LESSON Practice B 4-6 Graphing Linear Functions - Weebly
MSM07G7_RESBK_Ch04_043-050.pe
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Page 44
Name
LESSON
Date
Class
Practice B
4-6 Graphing Linear Functions
Graph each linear function.
1. y x 5
y
Input
Linear Equation
Output
Ordered
Pair
x
y x 5
y
(x, y)
4
y (4) 5
y (2) 5
y 0 5
1
3
5
(4, 1)
(2, 3)
(0, 5)
2
0
2
x
4
4
2
2
O
2
4
2
4
2
4
6
2. y 2x 1
y
Input
Linear Equation
Output
Ordered
Pair
x
y 2x 1
y
(x, y)
2
y 2(2) 1
y 2(0) 1
y 2(1) 1
5
1
1
(2, 5)
(0, 1)
(1, 1)
0
1
2
x
4
4
2
2
O
2
4
6
3. The temperature of a swimming pool
is 75¡ãF. When the pool heater is
turned on, the temperature rises
2¡ãF every hour. What will the
temperature be after 3 hours?
Make a function table to
answer the question.
Input
x
1
2
3
Equation
y 2x 75
y 2(1) 75
y 2(2) 75
y 2(3) 75
Output
y
77
79
81
81¡ãF
4. Mel¡¯s Pizza Place charges $15.00 for
a large cheese pizza plus $1.25 for
each additional topping. What will be
the cost of a large pizza with 3
additional toppings? Make a function
table to answer the question.
Input
x
1
2
3
Equation
Output
y 1.25x 15
y
y 1.25(1) 15 16.25
y 1.25(2) 15 17.50
y 1.25(3) 15 18.75
$18.75
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
44
Holt Mathematics
Practice B
4-6 Graphing Linear Functions
Practice A
4-6 Graphing Linear Functions
LESSON
LESSON
Graph each linear function.
Complete the function tables. Then match the letter of each
graph with the function table for its linear function.
1. y x 2
Graph:
Input Linear Equation
C
Output
4
2
yx2
y
(x, y)
0
y02
y12
y22
2
1
0
(0, 2)
(1, 1)
(2, 0)
2
y
Input
Linear Equation
Output
Ordered
Pair
x
y x 5
y
(x, y)
4
y (4) 5
y (2) 5
y 0 5
1
3
5
(4, 1)
(2, 3)
(0, 5)
y
Ordered
Pair
x
1
1. y x 5
A
x
4
O
2
2
2
4
0
2
2
x
4
2
O
2
4
2
4
2
4
6
4
2. y 2x 1
x
2. y ?2?
Graph:
y ?2?
y
(x, y)
0
??
2
2
??
2
4
??
2
0
y
y
2
y
4
Ordered
Pair
x
y 2x 1
y
(x, y)
2
y 2(2) 1
y 2(0) 1
y 2(1) 1
5
1
1
(2, 5)
(0, 1)
(1, 1)
2
0
4
2
1
4
Input Linear Equation
x
4
2
B
3. The temperature of a swimming pool
is 75¡ãF. When the pool heater is
turned on, the temperature rises
2¡ãF every hour. What will the
temperature be after 3 hours?
Make a function table to
answer the question.
C
Ordered
Pair
4
2
x
y 2
y
(x, y)
0
y2
y2
y2
2
2
2
(0, 2)
(1, 2)
(2, 2)
2
4
2
O
Input
x
1
2
3
Equation
y 2x 75
y 2(1) 75
y 2(2) 75
y 2(3) 75
Output
y
77
79
81
81¡ãF
x
4
O
6
4
(4, 2)
Output
2
2
(2, 1)
2
O
2
y
2
Output
4
(0, 0)
1
Graph:
1
Linear Equation
x
3. y 2
y
Input
y
Output
x
0
A
Ordered
Pair
Input Linear Equation
x
B
2
4. Mel¡¯s Pizza Place charges $15.00 for
a large cheese pizza plus $1.25 for
each additional topping. What will be
the cost of a large pizza with 3
additional toppings? Make a function
table to answer the question.
4
2
4
Input
x
1
2
3
Equation
Output
y 1.25x 15
y
y 1.25(1) 15 16.25
y 1.25(2) 15 17.50
y 1.25(3) 15 18.75
$18.75
43
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Practice C
4-6 Graphing Linear Functions
LESSON
Graph each linear function.
The graph of a linear equation is a straight line. A linear function is
a function whose graph is a straight line that is not vertical. To graph
a linear equation, first make a function table.
x
2. y ?3? 3
y
y
Complete the function table for y 2x 3.
4
2
4
2
4
4
2 O
2
2
4
4
3. y x 3
Output
y 2x 3
y
(x, y)
1.
0
y 2(0) 3 0 3
2.
1
y 2(1) 3 2 3
3.
2
y 2(2) 3 4 3
3
1
1
(0, 3)
(1, 1)
(2, 1)
y
4
y
y
4
4
2
2
2
(2, 1)
4
x
x
2
4
4
Ordered Pair
To graph the equation, graph ordered pairs. Then draw a line through the points.
4. y 3x 4
2 O
2
Linear Equation
x
x
4
4
Input
2
x
2 O
2
Holt Mathematics
Reteach
4-6 Graphing Linear Functions
LESSON
1. y x 4
44
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
2 O
2
2
2
O
2
4
4
x
2
4
(1,1)
(0,3)
4
4
Complete the function table and graph the equation.
4. y x 1
5. Jackie is saving her money to buy
a coat that costs $121. If she already
has $61 and saves $15 each week,
in how many weeks can she buy the
coat? Make a function table to
answer the question.
Input
x
1
2
3
4
4 weeks
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
45
Copyright ? by Holt, Rinehart and Winston.
Equation
y 15x 61
y 15(1) 61
y 15(2) 61
y 15(3) 61
y 15(4) 61
Output
y
76
91
106
121
y
Input
Linear
Equation
Ordered
Output
Pair
x
y x 1
y
(x, y)
0
y 0 1
1
y 1 1
2
y 2 1
1
0
1
(0, 1)
(1, 0)
(2, 1)
8
4
(0, 1)
8
4
O
4
(1, 0)
4
x
8
(2, 1)
8
Holt Mathematics
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
61
46
Holt Mathematics
Holt Mathematics
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