A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies. Is function C a piecewise function? Explain your reasoning. а. Draw a graph to represent C. с. Describe, as completely as possible, the domain of C.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
Problem 43PFA
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A movie theater is offering a special summer pass. Passholders pay $8 per movie for
the first 5 movies and watch additional movies for free, up to a maximum of 15 movies.
The function C gives the total cost, in dollars, for a passholder to watch n movies.
Is function C a piecewise function? Explain your reasoning.
а.
b.
Draw a graph to represent C.
c.
Describe, as completely as possible, the domain of C.
d.
Describe, as completely as possible, the range of C.
48
40
32
24
16
2
4
8
10
12 14 16
Is the following statement True or False, as an
explanation for why function C is a piecewise
function?
There is one rule that applies for input values up to 5
and another rule that applies for input values greater
than 5 and up through 15.
True
False
Transcribed Image Text:A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies. Is function C a piecewise function? Explain your reasoning. а. b. Draw a graph to represent C. c. Describe, as completely as possible, the domain of C. d. Describe, as completely as possible, the range of C. 48 40 32 24 16 2 4 8 10 12 14 16 Is the following statement True or False, as an explanation for why function C is a piecewise function? There is one rule that applies for input values up to 5 and another rule that applies for input values greater than 5 and up through 15. True False
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