1-5 Parent Functions And Transformations Worksheet With Answers Page 7

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1-5 Parent Functions and Transformations
38. 
39. 
POSTAGE The cost of a first-class postage stamp
BUSINESS A no-contract cell phone company
charges a flat rate for daily access and $0.10 for
in the U.S. from 1988 to 2008 is shown in the table
each minute. The cost of the plan can be modeled by
below. Use the data to graph a step function.
c(x) = 1.99 + 0.1[[x]], where x is the number of
minutes used.
a. Describe the transformation(s) of the parent
function f (x) = [[x]] used to graph c(x).
b. The company offers another plan in which the
daily access rate is $2.49, and the per-minute rate is
$0.05. What function c(x) can be used to describe
the second plan?
c. Graph both functions on the same graphing
calculator screen.
d. Would the cost of the plans ever equal each
other? If so, at how many minutes?
ANSWER:  
ANSWER:  
a. The graph of c(x) is the graph of f (x) compressed
vertically and translated 1.99 units up.
b. c(x) = 2.49 + 0.05[[x]]
c.
d. Yes; the plans will equal each other at 10 minutes.
40. 
GOLF The path of a drive can be modeled by the
function shown, where g(x) is the vertical distance in
39. 
BUSINESS A no-contract cell phone company
feet of the ball from the ground and x is the
charges a flat rate for daily access and $0.10 for
horizontal distance in feet such that x = 0
each minute. The cost of the plan can be modeled by
corresponds to the initial point.
c(x) = 1.99 + 0.1[[x]], where x is the number of
minutes used.
a. Describe the transformation(s) of the parent
function f (x) = [[x]] used to graph c(x).
b. The company offers another plan in which the
daily access rate is $2.49, and the per-minute rate is
$0.05. What function c(x) can be used to describe
the second plan?
c. Graph both functions on the same graphing
calculator screen.
d. Would the cost of the plans ever equal each
other? If so, at how many minutes?
a. Describe the transformation(s) of the parent
2
ANSWER:  
function f (x) = x
used to graph g(x).
b. If a second golfer hits a similar shot 30 feet
a. The graph of c(x) is the graph of f (x) compressed
farther down the fairway from the first player, what
vertically and translated 1.99 units up.
function h(x) can be used to describe the second
b. c(x) = 2.49 + 0.05[[x]]
golfer’s shot?
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Page 7
c.
c. Graph both golfers’ shots on the same graphing
calculator screen.

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