Question

8. Melody subscribes to a coffee service. For $10 a month, Melody is able to purchase a cup of coffee for the

discounted price of $2 for each cup. This situation can be modeled by the function f(x) = 2x+10, where x
represents the number of cups of coffee Melody can purchase. This membership caps the number of cups of
coffee that can be purchased each month at 6.
(D)
Which answer choices best describe the domain and range of f?
Choose TWO correct answers from the 5 choices.
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The range of the function is 102y 2:22.
The domain of the function is 02 x 6. (S-V)E- = (-)5 noitsupe er zelam v to oulev derW.A
The domain of the function is (10, 12, 14, 16, 18, 20, 22).
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The range of the function is {10, 12, 14, 16, 18, 20, 22}
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Answer 1

Domain: 0 <= x <= 6

Range: 10 <= x <= 22

Explanation:

There is no minimum to the number of cups she can purchase, thus x > 0 or x >= 1. The maximum amount she can purchase is x = 6 or x <= 6, thus 0 <= x <= 6. Plugging these two values into the function we get a range of 10 <= x <= 22.