4. A shot put is shot by an athlete at a competition. The horizontal distance traveled by the shotput can be modeled by the function f(x) = -0.01x² + 0.7x + 6.1 where x is the shot's horizontal distance in feet. a) What is the maximum height of the shot and how far from its release does it occur? b) Find the horizontal distance the shot travels before hitting the ground? c) Graph the function that models the shot's parabolic path.

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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Please complete number 4

4. A shot put is shot by an athlete at a competition. The
horizontal distance traveled by the shotput can be modeled
by the function
f(x) = -0.01x? + 0.7x + 6.1
where x is the shot's horizontal distance in feet.
a) What is the maximum height of the shot and how far from
its release does it occur?
b) Find the horizontal distance the shot travels before hitting
the ground?
c) Graph the function that models the shot's parabolic path.
Transcribed Image Text:4. A shot put is shot by an athlete at a competition. The horizontal distance traveled by the shotput can be modeled by the function f(x) = -0.01x? + 0.7x + 6.1 where x is the shot's horizontal distance in feet. a) What is the maximum height of the shot and how far from its release does it occur? b) Find the horizontal distance the shot travels before hitting the ground? c) Graph the function that models the shot's parabolic path.
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