LESSON Practice B 4-6 Graphing Linear Functions - Weebly

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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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