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Precalculus S2024-Campus > Assessment 3.2: Function Relations and Domains of Functions (Homework) Due in 23 hours, 3 Consider a circle whose size can vary. Let $r$ represent the radius of the circle (in cm) and let $C$ represent Suppose the function $f$ determines the circumference of the circle in cm, $C$, given its radius length in cm a. Write a function formula for $f$. $f(r) =$ Preview b. What does $f(13)$ represent in this context? Select all that apply. A circle with a circumference of 13 cm The radius (in cm) of a circle whose circumference is 13 cm A circle with a radius of 13 cm The circumference (in cm) of a circle whose radius is 13 cm c. If $f(a) = 13$, what does $a$ represent in this context? Select all that apply. A circle with a circumference of 13 cm A circle with a radius of 13 cm The circumference (in cm) of a circle whose radius is 13 cm The radius (in cm) of a circle whose circumference is 13 cm d. What values can $r$ assume in this context? Express your answer as an interval. Preview e. What values can $f(r)$ assume in this context? Express your answer as an interval. Preview Submit Question 1. Points possible: 5 Unlimited attempts. Message instructor about this question Post this question to forum 

          Precalculus S2024-Campus > Assessment
3.2: Function Relations and Domains of Functions (Homework)
Due in 23 hours, 3
Consider a circle whose size can vary. Let $r$ represent the radius of the circle (in cm) and let $C$ represent
Suppose the function $f$ determines the circumference of the circle in cm, $C$, given its radius length in cm
a. Write a function formula for $f$.
$f(r) =$
Preview
b. What does $f(13)$ represent in this context? Select all that apply.
A circle with a circumference of 13 cm
The radius (in cm) of a circle whose circumference is 13 cm
A circle with a radius of 13 cm
The circumference (in cm) of a circle whose radius is 13 cm
c. If $f(a) = 13$, what does $a$ represent in this context? Select all that apply.
A circle with a circumference of 13 cm
A circle with a radius of 13 cm
The circumference (in cm) of a circle whose radius is 13 cm
The radius (in cm) of a circle whose circumference is 13 cm
d. What values can $r$ assume in this context? Express your answer as an interval.
Preview
e. What values can $f(r)$ assume in this context? Express your answer as an interval.
Preview
Submit
Question 1. Points possible: 5
Unlimited attempts.
Message instructor about this question
Post this question to forum
Show more…
Precalculus S2024-Campus > Assessment 3.2: Function Relations and Domains of Functions (Homework) Due in 23 hours, 3 Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent Suppose the function f determines the circumference of the circle in cm, C, given its radius length in cm a. Write a function formula for f. f(r) = Preview b. What does f(13) represent in this context? Select all that apply. A circle with a circumference of 13 cm The radius (in cm) of a circle whose circumference is 13 cm A circle with a radius of 13 cm The circumference (in cm) of a circle whose radius is 13 cm c. If f(a) = 13, what does a represent in this context? Select all that apply. A circle with a circumference of 13 cm A circle with a radius of 13 cm The circumference (in cm) of a circle whose radius is 13 cm The radius (in cm) of a circle whose circumference is 13 cm d. What values can r assume in this context? Express your answer as an interval. Preview e. What values can f(r) assume in this context? Express your answer as an interval. Preview Submit Question 1. Points possible: 5 Unlimited attempts. Message instructor about this question Post this question to forum

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Transcript

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00:01 Hi, hi, in this question, write a formula.
00:06 Ok, first of all, consider a circle whose size can vary.
00:10 R represents the radius of a circle and c represents the circumference of a circle.
00:15 Suppose function g determines the radius of a circle in cm, r, give its circumference in cm, c.
00:26 Ok, so, function g determines radius of the circle in cm, r, given its circumference in cm, c.
00:41 So, write a function for g, c.
00:44 We know that c equal to 2 pi r, c equal to 2 pi r.
00:51 So, from here, r is function of c, r will be equal to c by 2 pi.
01:02 So, g as a function of c will be equal to c by 2 pi and this is r.
01:13 Ok, part b, what does g14 represent in this context? g14 will represent that circumference is 14.
01:25 So, the radius of the circle whose circumference is 14.
01:29 Yes, first is true.
01:32 First is true.
01:35 Second is circumference, no.
01:39 Third is circle with a radius of 14 cm...
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