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A bride throws her wedding ring out the window of her honeymoon suite at an initial velocity of 32 feet per second. The equation that describes the height of the ring (h is in feet) above the ground at any time t (in seconds) is given by h(t) = 16t² + 32t+48 a) Factor the right side of the function. Clearly show your process! b) Find the intercepts. Clearly show the steps. c) Since this is a quadratic function, the exact coordinates of the vertex can be found. Determine the exact coordinates of the vertex.

A bride throws her wedding ring out the window of her honeymoon suite at an initial velocity of 32 feet per second. The equation that describes the height of the ring (h is in feet) above the ground at any time t (in seconds) is given by h(t) = 16t² + 32t+48 a) Factor the right side of the function. Clearly show your process! b) Find the intercepts. Clearly show the steps. c) Since this is a quadratic function, the exact coordinates of the vertex can be found. Determine the exact coordinates of the vertex.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A bride throws her wedding ring out the window of her honeymoon suite at an initial velocity of 32 feet per second. The equation that describes the height of the ring (h is in feet) above the ground at any time t (in seconds) is given by h(t) = 16t² + 32t+48 a) Factor the right side of the function. Clearly show your process! b) Find the intercepts. Clearly show the steps. c) Since this is a quadratic function, the exact coordinates of the vertex can be found. Determine the exact coordinates of the vertex.
Transcribed Image Text:A bride throws her wedding ring out the window of her honeymoon suite at an initial velocity of 32 feet per second. The equation that describes the height of the ring (h is in feet) above the ground at any time t (in seconds) is given by h(t) = 16t² + 32t+48 a) Factor the right side of the function. Clearly show your process! b) Find the intercepts. Clearly show the steps. c) Since this is a quadratic function, the exact coordinates of the vertex can be found. Determine the exact coordinates of the vertex.
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d) Graph the function in the space below, clearly labeling your axes. Title your graph. e) What maximum height does it reach before it comes back down? f) What is the total amount of time that the object is in the air (going up and coming down)? g) After the ring reaches its maximum height, how long does it take to fall to the ground? h) How far off the ground is the window of her honeymoon suite? i) What is the mathematical domain of this relation? j) What is the practical domain of this relation, in the problem context?
Transcribed Image Text:d) Graph the function in the space below, clearly labeling your axes. Title your graph. e) What maximum height does it reach before it comes back down? f) What is the total amount of time that the object is in the air (going up and coming down)? g) After the ring reaches its maximum height, how long does it take to fall to the ground? h) How far off the ground is the window of her honeymoon suite? i) What is the mathematical domain of this relation? j) What is the practical domain of this relation, in the problem context?
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