Write a linear function for the data in each table. SEE EXAMPLE 2 19. 1 4 y -1 4 14 19 20. 1 2 3 y 4 1.5 -1 -3.5 -6 4. 3. 2. 9,

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section8.6: Comparing Linear, Exponential, And Quadratic Functions
Problem 41E
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Question 20
UNDERSTAND
PRACTICE
9. Use Structure The two
ty
Find the value of f(5) for each function.
points on the graph are
given by the function f.
EXAMPLE 1
13. f(x) = 6 + 3x
14. f(x) = -2(x + 1)
a. Use the two points to find
the equation that represents the function f.
2
4
15. f(a) = 3(a + 2) - 1
16. f(h) = -
b. What is f(6)?
17. f(m) = 1 - 4()
18. f(m) = 2(m - 3)
Write a linear function for the data in each table.
10. Higher Order Thinking Consider the functions
g(x) = 2x + 1 and h(x) = 2x + 2 for the domain
SEE EXAMPLE 2
0 <x< 5.
19.
1
3
4
a. Without evaluating or graphing the
functions, how do the ranges compare?
y
-1
4
14
19
b. Graph the two functions and describe each
20.
1
2
3
4
range over the given interval.
y
4
1.5
-1-3.5-6
11. Make Sense and Persevere Customers at a
deli can buy an unlimited amount of potato
salad. The customer is not charged for the
weight of the container.
21.
-2
-1
1
2
y
2 -1
-4
a. The table shows the weight of the container
with food and the cost. If 1 oz = 0.0625 lb,
what is the price per pound of the potato
salad? What is the weight of the container in
pounds? What is the weight of the container
and potato salad in pounds?
Sketch the graph of each linear function.
SEE EXAMPLE 3
22. g(x) = x – 3
23. h(x) = 3 - x
24. f(x) = (x - 1)
25. f(x) = 0.75(10 – x) + 1
Use the graph for Exercises 26 and 27. SEE EXAMPLE 3
Weight (oz)
9.
11
13
Cost ($)
1
4
b. If the store had not accounted for the
weight of the container, how much would
the customer be charged for the container?
Is the cost of the container the same, or
does it vary by how much potato salad is
purchased? Explain.
-2
2
12. Error Analysis Describe
and correct the error
26. Is the function shown a linear function?
Explain.
1
3.
4
a student made when
y
10
19
28
37
finding the function rule
for the data in the table.
27. Describe the domain and range of the function.
When x increases by 1,
y increases by 9 each time.
When x = 1, y = 10.
So y = 9x + 10.
28. Katrina buys a 64-ft roll of fencing to
make a rectangular play area for her dogs.
Use 2(1 + w) = 64 to write a function for the
length, given the width. Graph the function.
What is a reasonable domain for the situation?
Explain, SEE EXAMPLE 4
100 TOPIC 3 Linear Functions
Go Online | SavvasRealize.com
Transcribed Image Text:UNDERSTAND PRACTICE 9. Use Structure The two ty Find the value of f(5) for each function. points on the graph are given by the function f. EXAMPLE 1 13. f(x) = 6 + 3x 14. f(x) = -2(x + 1) a. Use the two points to find the equation that represents the function f. 2 4 15. f(a) = 3(a + 2) - 1 16. f(h) = - b. What is f(6)? 17. f(m) = 1 - 4() 18. f(m) = 2(m - 3) Write a linear function for the data in each table. 10. Higher Order Thinking Consider the functions g(x) = 2x + 1 and h(x) = 2x + 2 for the domain SEE EXAMPLE 2 0 <x< 5. 19. 1 3 4 a. Without evaluating or graphing the functions, how do the ranges compare? y -1 4 14 19 b. Graph the two functions and describe each 20. 1 2 3 4 range over the given interval. y 4 1.5 -1-3.5-6 11. Make Sense and Persevere Customers at a deli can buy an unlimited amount of potato salad. The customer is not charged for the weight of the container. 21. -2 -1 1 2 y 2 -1 -4 a. The table shows the weight of the container with food and the cost. If 1 oz = 0.0625 lb, what is the price per pound of the potato salad? What is the weight of the container in pounds? What is the weight of the container and potato salad in pounds? Sketch the graph of each linear function. SEE EXAMPLE 3 22. g(x) = x – 3 23. h(x) = 3 - x 24. f(x) = (x - 1) 25. f(x) = 0.75(10 – x) + 1 Use the graph for Exercises 26 and 27. SEE EXAMPLE 3 Weight (oz) 9. 11 13 Cost ($) 1 4 b. If the store had not accounted for the weight of the container, how much would the customer be charged for the container? Is the cost of the container the same, or does it vary by how much potato salad is purchased? Explain. -2 2 12. Error Analysis Describe and correct the error 26. Is the function shown a linear function? Explain. 1 3. 4 a student made when y 10 19 28 37 finding the function rule for the data in the table. 27. Describe the domain and range of the function. When x increases by 1, y increases by 9 each time. When x = 1, y = 10. So y = 9x + 10. 28. Katrina buys a 64-ft roll of fencing to make a rectangular play area for her dogs. Use 2(1 + w) = 64 to write a function for the length, given the width. Graph the function. What is a reasonable domain for the situation? Explain, SEE EXAMPLE 4 100 TOPIC 3 Linear Functions Go Online | SavvasRealize.com
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