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2:38 Valeria PerezF.. Key Characteristics of a Quadratic Function Directions: Answer the following questions in complete sentences. This assignment will be turned in for a grade. Using the graph at the right, it shows the height h in feet of a small rocket t seconds after it is launched. The path of the rocket is given by the equation: h= -16t + 128t. a. Identify the values of a, b, and e for your function. b. Using technology, graph the function. Paste a picture of your graph here. c. For the given context, what is the domain and range of this function?

2:38 Valeria PerezF.. Key Characteristics of a Quadratic Function Directions: Answer the following questions in complete sentences. This assignment will be turned in for a grade. Using the graph at the right, it shows the height h in feet of a small rocket t seconds after it is launched. The path of the rocket is given by the equation: h= -16t + 128t. a. Identify the values of a, b, and e for your function. b. Using technology, graph the function. Paste a picture of your graph here. c. For the given context, what is the domain and range of this function?

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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2:38 Valeria PerezF... Key Characteristics of a Quadratic Function Directions: Answer the following questions in complete sentences. This assignment willI be turned in for a grade. Using the graph at the right, it shows the heighth in feet of a small rocket t seconds after it is launched. The path of the rocket is given by the equation: h=-16t + 128t a. Identify the values of a, b, and e for your function. b. Using technology, graph the function. Paste a picture of your graph here. c. For the given context, what is the domain and range of this function? d. Use your graph to help you write a thorough description of the flight of the rocket. Be sure to include the height of the rocket then it left the ground, its maximum height, and the amount of time it was in the air. e. Do you think the rocket is traveling faster from 0 to 1 second or from 3 to 4 seconds? Explain your answer. f. About how high is the rocket after 1 second? g. After 2 seconds, about how high is the rocket? is the rocket going up or going down? Key Characteristics of a Quadratic Function h. After 6 seconds, about how high is the rocket? is the rocket going up or going down? i. What are the coordinates of the vertex? j. On what interval of the domain is the function increasing? Explain how you know. k. On what interval of the domain is the function decreasing? Explain how you know. L What are the zeros (x-intercepts) of your function? Explain the zeros in the context of the situation.
Transcribed Image Text:2:38 Valeria PerezF... Key Characteristics of a Quadratic Function Directions: Answer the following questions in complete sentences. This assignment willI be turned in for a grade. Using the graph at the right, it shows the heighth in feet of a small rocket t seconds after it is launched. The path of the rocket is given by the equation: h=-16t + 128t a. Identify the values of a, b, and e for your function. b. Using technology, graph the function. Paste a picture of your graph here. c. For the given context, what is the domain and range of this function? d. Use your graph to help you write a thorough description of the flight of the rocket. Be sure to include the height of the rocket then it left the ground, its maximum height, and the amount of time it was in the air. e. Do you think the rocket is traveling faster from 0 to 1 second or from 3 to 4 seconds? Explain your answer. f. About how high is the rocket after 1 second? g. After 2 seconds, about how high is the rocket? is the rocket going up or going down? Key Characteristics of a Quadratic Function h. After 6 seconds, about how high is the rocket? is the rocket going up or going down? i. What are the coordinates of the vertex? j. On what interval of the domain is the function increasing? Explain how you know. k. On what interval of the domain is the function decreasing? Explain how you know. L What are the zeros (x-intercepts) of your function? Explain the zeros in the context of the situation.
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