A ball is thrown upward and outward froma height of 6 feet The height of the ball, f(x), in feet can be modeled by f(x) = - 0.1x +0 8x + 6 where x is the ball's horizontal distance in feet from where it was thrown Use this model to solve parts (a) through (c). a. What is the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is feet, which occurs feet from the point of release. (Round to the nearest tenth as needed.) b. How far does the ball travel horizontally before hitting the ground? feet (Round to the nearest tenth as needed c. Graph the function that models the ball's parabolic path Choose the correct graph below O A. OB. O D. 25 25- 20- 등, 15- 우 10- 254 20 등 15- - 10- 20- E 15 20 - 10- 5- 5 10152025 Horizontal Distance 5 10152025 Horizontal Distance O5 1015 2025 Horizontal Distance 0510152025 Horizontal Distance

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 3T
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A ball is thrown upward and outward from a height of 6 feet The height of the ball, f(x), in feet can be modeled by
f(x) = - 0.1x + 0 8x + 6
where x is the ball's horizontal distance in feet from where it was thrown Use this model to solve parts (a) through (c).
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs
(Round to the nearest tenth as needed )
feet from the point of release.
b. How far does the ball travel horizontally before hitting the ground?
feet
(Round to the nearest tenth as needed.
c. Graph the function that models the ball's parabolic path Choose the correct graph below
O D.
25-
25-
20-
5 15-
- 10-
5-
25
20-
E 16-
20-
15-
10-
10
5 10152025
Horizontal Distance
O 5 1015 2025
Horizontal Distance
0 5 10152025
Horizontal Distance
O 5 10152025
Horizontal Distance
Transcribed Image Text:A ball is thrown upward and outward from a height of 6 feet The height of the ball, f(x), in feet can be modeled by f(x) = - 0.1x + 0 8x + 6 where x is the ball's horizontal distance in feet from where it was thrown Use this model to solve parts (a) through (c). a. What is the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is feet, which occurs (Round to the nearest tenth as needed ) feet from the point of release. b. How far does the ball travel horizontally before hitting the ground? feet (Round to the nearest tenth as needed. c. Graph the function that models the ball's parabolic path Choose the correct graph below O D. 25- 25- 20- 5 15- - 10- 5- 25 20- E 16- 20- 15- 10- 10 5 10152025 Horizontal Distance O 5 1015 2025 Horizontal Distance 0 5 10152025 Horizontal Distance O 5 10152025 Horizontal Distance
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