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Function Value Interpretation
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Name:Date:
Function Value Interpretation
For each function value, explain what the input and output mean in the situation. Include units when they are given.
Reading Function Values
Lunch boxes, p
Cost, C(p)
3
$24
6
$48
9
$72
1.Using the snack stand table, explain what C(6) = 48 tells you.
2.A function M(t) gives the number of miles a delivery van has traveled t hours after leaving its depot. If M(4) = 212, interpret this value in context.
3.A function H(h) records the temperature in degrees Fahrenheit h hours after midnight. What does H(11) = 71 mean?
Using Function Information
Weeks, w
Downloads, D(w)
2
18
4
36
6
54
4.What does D(4) = 36 mean for the music downloads?
5.If the pattern in the download table continues, what would D(8) represent, and what value would you predict?
6.A function V(m) gives a cyclist's speed in miles per hour m minutes after starting a ride. Explain the meaning of V(12) = 16.
Think About the Meaning
7.Choose one situation from this worksheet. Describe one practical decision someone could make using its function value, and explain how the value could help.
8.For a function value f(a) = b in a real-world situation, which information should an interpretation include?
- What the input a represents and what the output b represents, including relevant units
- Only the name of the function
- A guess about what the function might do next
- Only the numerical value of b
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