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. a. b. Draw a graph to represent C. с. Describe, as completely as possible, the domain of C. Describe, as completely as possible, the range of C. 48 40 32 24 16 8 2 4 6 8 10 12 14 16 Is the following statement True or False, as an explanation for why function C is a piecewise function? Different rules apply to different intervals of the domain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

True or false 

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
8
4
6
8
10
12
14
16
Is the following statement True or False, as an
explanation for why function C is a piecewise
function?
Different rules apply to different intervals of the
domain.
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 8 4 6 8 10 12 14 16 Is the following statement True or False, as an explanation for why function C is a piecewise function? Different rules apply to different intervals of the domain.
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