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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 30°, its height, f(x), in feet, can be modeled by (x) = - 0.01x? + 0.6x + 6.2, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is which occurs feet from the point of release.

An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 30°, its height, f(x), in feet, can be modeled by (x) = - 0.01x? + 0.6x + 6.2, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is which occurs feet from the point of release.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Question 7, 3.1.57

An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 30°, its height, f(x), in feet, can be modeled by 5 50- 40- * 30- 20- 10- f(x) = - 0.01x + 0.6x + 6.2, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 20 40 60 80 100 Shot Put's Horizontal Distance ..... a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is, which occurs feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) Shot Put's Height
Transcribed Image Text:An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 30°, its height, f(x), in feet, can be modeled by 5 50- 40- * 30- 20- 10- f(x) = - 0.01x + 0.6x + 6.2, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 20 40 60 80 100 Shot Put's Horizontal Distance ..... a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is, which occurs feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) Shot Put's Height
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