Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of the circle (in cm). Suppose the function f determines the circumference of the circle in cm, C, given its radius length in cm, r. a. Write a function formula for f. f(r) Preview 2 nr b. What does f(18) represent in this context? Select all that apply. OA circle with a circumference of 18 cm. OThe radius (in cm) of a circle whose circumference is 18 cm. VThe circumference (in cm) of a circle whose radius is 18 cm. OA circle with a radius of 18 cm. c. If f(a) = 18, what does a represent in this context? Select all that apply. A circle with a circumference of 18 cm. The radius (in cm) of a circle whose circumference is 18 cm. A circle with a radius of 18 cm. OThe circumference (in cm) of a circle whose radius is 18 cm. d. What values can r assume in this context? Express your answer as an interval. (-00, 18] Preview e. What values can f(r) assume in this context? Express your answer as an interval. (-0о, 18) Preview

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 46SE: The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of...
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Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the
circumference of the circle (in cm). Suppose the function f determines the circumference of the circle in cm, C,
given its radius length in cm, r.
a. Write a function formula for f.
f(r) =
2 r
Preview
b. What does f(18) represent in this context? Select all that apply.
OA circle with a circumference of 18 cm.
OThe radius (in cm) of a circle whose circumference is 18 cm.
The circumference (in cm) of a circle whose radius is 18 cm.
OA circle with a radius of 18 cm.
c. If f(a) = 18, what does a represent in this context? Select all that apply.
OA circle with a circumference of 18 cm.
The radius (in cm) of a circle whose circumference is 18 cm.
OA circle with a radius of 18 cm.
OThe circumference (in cm) of a circle whose radius is 18 cm.
d. What values can r assume in this context? Express your answer as an interval.
(-00, 18]
Preview
e. What values can f(r) assume in this context? Express your answer as an interval.
(-оо, 18)
Preview
Transcribed Image Text:Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of the circle (in cm). Suppose the function f determines the circumference of the circle in cm, C, given its radius length in cm, r. a. Write a function formula for f. f(r) = 2 r Preview b. What does f(18) represent in this context? Select all that apply. OA circle with a circumference of 18 cm. OThe radius (in cm) of a circle whose circumference is 18 cm. The circumference (in cm) of a circle whose radius is 18 cm. OA circle with a radius of 18 cm. c. If f(a) = 18, what does a represent in this context? Select all that apply. OA circle with a circumference of 18 cm. The radius (in cm) of a circle whose circumference is 18 cm. OA circle with a radius of 18 cm. OThe circumference (in cm) of a circle whose radius is 18 cm. d. What values can r assume in this context? Express your answer as an interval. (-00, 18] Preview e. What values can f(r) assume in this context? Express your answer as an interval. (-оо, 18) Preview
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