Evaluate and use piecewise functions
11th grade (Year 12 in England) · 16 questions · Common Core: HSF.IF.C.7.B
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Question 1
A phone plan costs $7 a month including 3 GB of data. Each extra GB costs $1.50. What is the bill for a month using 10 GB? Give the amount as a number.
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Question 2
f(x) = x² + 2 when x < 3, and f(x) = −x − 3 when x ≥ 3. Find f(1).
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Question 3
A phone plan costs $4 a month including 5 GB of data. Each extra GB costs $1. What is the bill for a month using 15 GB? Give the amount as a number.
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Question 4
f(x) = x² + 0 when x < 0, and f(x) = 2x − 1 when x ≥ 0. Find f(−3).
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Question 5
A phone plan costs $7 a month including 5 GB of data. Each extra GB costs $0.50. What is the bill for a month using 6 GB? Give the amount as a number.
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Question 6
f(x) = x² + 3 when x < 3, and f(x) = −x + 3 when x ≥ 3. Find f(3).
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Question 7
A phone plan costs $7 a month including 3 GB of data. Each extra GB costs $1.50. What is the bill for a month using 8 GB? Give the amount as a number.
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Question 8
f(x) = x² − 3 when x < −1, and f(x) = 2x − 3 when x ≥ −1. Find f(−2).
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Question 9
A phone plan costs $5 a month including 5 GB of data. Each extra GB costs $1. What is the bill for a month using 8 GB? Give the amount as a number.
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Question 10
f(x) = x² − 3 when x < 2, and f(x) = 3x − 2 when x ≥ 2. Find f(−1).
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Question 11
A phone plan costs $6 a month including 2 GB of data. Each extra GB costs $1. What is the bill for a month using 5 GB? Give the amount as a number.
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Question 12
f(x) = x² − 2 when x < 2, and f(x) = −4x + 1 when x ≥ 2. Find f(0).
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Question 13
A phone plan costs $4 a month including 5 GB of data. Each extra GB costs $1. What is the bill for a month using 11 GB? Give the amount as a number.
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Question 14
f(x) = x² + 1 when x < 1, and f(x) = 4x + 5 when x ≥ 1. Find f(2).
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Question 15
A phone plan costs $4 a month including 2 GB of data. Each extra GB costs $1.50. What is the bill for a month using 7 GB? Give the amount as a number.
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Question 16
f(x) = x² − 3 when x < 0, and f(x) = 2x − 1 when x ≥ 0. Find f(3).
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