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Function Value Interpretation

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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

2 printable pages

  • Function values interpreted using a snack stand cost table, travel distance, and temperature.

    Page 1

  • A music download table, function value predictions, and real-world function interpretation practice.

    Page 2

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