Download - Main Idea/Vocabulary linear function Represent linear functions using function tables and graphs
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• linear function
• Represent linear functions using function tables and graphs.
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MUSIC During a clearance sale, a music store is selling CDs for $3 and tapes for $1. Graph the function 3x + y = 6 to find how many CDs and tapes Bill can buy with $6.
Graph a Function
First, rewrite the equation by solving for y.
3x + y = 6 Write the equation.
3x – 3x + y = 6 – 3xSubtract 3x from each side.
y = 6 – 3xSimplify.
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Choose values for x and substitute them to find y. Then graph the ordered pairs.
Answer: The solutions are 0 CDs and 6 tapes, 1 CD and 3 tapes, or 2 CDs and 0 tapes.
Graph a Function
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BAKE SALE During a bake sale, a plate of brownies is sold for $2 and a plate of cookies is sold for $1. Graph the function 2x + y = 4. Which is not a combination of plates of brownies and cookies Craig can buy with $4?A. 2 plates of brownies,
0 plates of cookies
B. 1 plate of brownies, 2 plates of cookies
C. 1 plate of brownies, 3 plates of cookies
D. 0 plate of brownies, 4 plates of cookies
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Graph a Function
Graph y = x – 3.
Step 1 Choose some values for x. Make a function table. Include a column of ordered pairs of the form (x, y).
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Graph a Function
Step 2 Graph each ordered pair.
Draw a line that passes through each point.
Answer:
Note that the ordered pair for any point on this line is a solution of y = x – 3. The line is the complete graph of the function.
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Graph a Function
Check It appears from the graph that (–1, –4) is also a solution. Check this by substitution.
y = x – 3 Write the function.
?–4 = –1 – 3 Replace x with –1 and y with –4.
–4 = –4 Simplify.
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Graph y = x –2.
A. B.
C. D.
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Which line graphed below best represents the table of values for the ordered pairs (x, y)?
A. B.
C. D.
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Solve the Item
The values in the table represent the ordered pairs (0, 1), (1, 3), (2, 5), and (3, 7).
Answer: D
Read the Item
You need to decide which of the four graphs represents the data in the table.
Test the ordered pairs with each graph. Graph D is the only graph which contains all these ordered pairs. The answer is D.
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Which line graphed below best represents the table of values for the ordered pairs (x, y)?
A. B.
C. D.
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2. B
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(over Lesson 9-2)
A. 4
B. 9
C. 15
D. 36
Find f(3) if f(x) = x + 12.
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(over Lesson 9-2)
Find f(5) if f(x) = 4x.
A. AnsA
B. AnsB
C. AnsC
D. AnsD
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(over Lesson 9-2)
A. 2
B. 11
C. 12
D. 13
Find f(6) if f(x) = 2x – 1.
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2. B
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(over Lesson 9-2)
A. –23
B. –21
C. 21
D. 23
Find f(–7) if f(x) = –3x + 2.
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Elizabeth is buying candles. They are $5.43 each. She is not sure how many she wants to buy. Write a function to calculate the total cost for any given number of candles.
(over Lesson 9-2)
A. f(x) = 5.43x
B.
C. f(x) = 5.43 + x
D. f(x) = 5.43 – x
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(over Lesson 9-2)
A. y = x + 45
B. y = 3x
C. y = 3x + 4
D. y = 2x + 3
Which function matches the function table?
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