THE QUESTION IS COMPLETE

3.2: Function Relations and Domains of Functions

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED. \

Consider a circle whose size can vary. Let 1\" represent the radius of the circle (in cm) and let 0' represent the circumference of the circle (in cm). Suppose the function f determines the circumference of the circle in cm, 0', given its radius length in cm, 1". 21. Write a lnction formula for f. Pie) = :] Peeview b. What does f(13) represent in this context? Select all that apply. [7 The circumference (in cm) of a circle whose radius is 13 cm. C] A circle with a radius of 13 cm. C1 The radius (in cm) of a circle whose circumference is 13 cm. C] A circle with a circumference of 13 cm. c. If f(a) = 13, what does a represent in this context? Select all that apply. [7 A circle with a circumference of 13 cm. C] The circumference (in cm) of a circle whose radius is 13 cm. C1 The radius (in cm) of a circle whose circumference is 13 cm. C] A circle with a radius of 13 cm. d. What values can 1' assume in this context? Express your answer as an interval. Z Preview e. What values can r} assume in this context? Express your answer as an interval. : Preview Submit Consider a circle whose size can vary. Let 1' represent the radius of the circle (in cm) and let G represent the circumference of the circle (in cm). Suppose the function 9 determines the radius of the circle in cm, 7', given its circumference in cm, 0. 21. Write a mction formula for g. m 2 : Preview b. What does 9(17) represent in this context? Select all that apply. [7 The circumference (in cm) of a circle whose radius is 17 cm. [7 The radius (in cm) of a circle whose circumference is 17 cm. Cl A circle with a circumference of 17 cm. C] A circle with a radius of 17 cm. c. If 5(a) : 17, what does (1 represent in this context? Select all that apply. [7 The radius (in cm) of a circle whose circumference is 17 cm. [7 The circumference (in cm) of a circle whose radius is 17 cm. Cl A circle with a radius of 17 cm. Cl A circle with a circumference of 17 cm. Submit A box is formed by cutting squares from the four comers of a 9"-wide by 12"-long sheet of paper and folding up the sides. ' Let :1: represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). 21. Write a formula that expresses V in terms of :c. v = : Preview b. Suppose the function f determines the volume of the box (in cubic inches) given (or in terms of) a cutout length in inches, :17. Write a lnction formula for f. ire) : |:| Previev c. What is the domain of 3'? Enter your answer as an interval. Hint. :] Preview d. What is the range of 3\"? Enter your answer as an interval. Hint. :] Preview Submit A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown! ' The function f determines the volume of the box (in cubic inches) given a cutout length (in inches). a. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.4 inches. :1 Preview b. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 1.3 inches. :1 Preview c. Use mction notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 0.4 inches to 1.3 inches. :1 Preview C]. Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 5.8 inches to 5.9 inches. :1 Preview Submit A 14-inch candle is lit and burns at a constant rate of 1 inches per hour. Let t represent the number of hours since the candle was lit, and suppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit. a. Write a function formula for f. iii) = : Preview b. What is the domain of f relative to this context? Enter your answer as an interval. Z Preview c. What is the range of f reiatt've to this context? Enter your answer as an interval. Z Preview d. Solve t} = 5 fort. :1 Preview e. What does your solution in part (d) represent in this context? Select all that apply. C] How long it takes for the candle to burn out. C] How many hours since the candle was lit when it is 5 inches long. [7 The length of the candle (in inches) 5 hours after it was lit. Submit A tank with some water in it begins to drain. The function v(t) : 44 * 2.5t determines the volume of the water in the tank (in gallons) given a number of minutes t since the water began draining. a. What is the vertical intercept of v? |:] Preview b. What does your answer to part (a) represent? Select all that apply. C] The number of gallons of water in the tank when it starts draining. [1 How many minutes it takes for all of the water to drain from the tank. [1 The weight of the tank when it is empty. 0. List all horizontal intercepts (or "roots") of v. |:] Preview (1. What does your answer to part (0) represent? Select all that apply. [1 The number of gallons of water in the tank when it starts draining. C] How many minutes it takes for all of the water to drain from the tank. C] The weight of the tank when it is empty. Submit For each of the following questions, if there is more than one solution, enter all solutions as a comma-separated list, like "1, 3". a. Consider the function f(x) = 5(x + 8) - 3. i. What is the vertical intercept of f? Preview ii. What are the horizontal intercepts (or "roots") of f? Preview b. Consider the function g(x) = x(11 - 2x) (15 - 2x). i. What is the vertical intercept of g? Preview ii. What are the horizontal intercepts (or "roots") of g? Preview SubmitTwo relationships between m and y are shown below. Relationship 1 is represented by the blue, solid graph. Relationship 2 is represented by the red, dashed graph. Which of the following are true? Select all that apply. C] For Relationship 2, y is a function of ac. [1 For Relationship 1, y is a function of ac. [1 For Relationship 2, a: is a function of y. C] For Relationship 1, m is a function of :9. Submit For the questions below, enter your answers using interval notation. You can use "U" to represent a "union", e.g. enter "(1,2) U (3,5)" for (1, 2) U (3, 5). You can enter "oo" for co, e.g. enter "(-00, 00)" for ( - co, co). a. Suppose f(ac) = 3x2 + 4. i. What is the domain of f? Preview ii. What is the range of f? Preview Va -5 b. Suppose g(x) = ac 8 i. What is the domain of g? Preview ii. What is the range of g? Preview Submit