A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by Ax) = -0.025x² + x + 6, where x is the ball's horizontal distance, in yards, from the quarterback. a. What is the ball's maximum height and how far from the quarterback does this occur? b. From what height did the quarterback toss the football? c. If the football is not blocked by a defensive player nor caught by the receiver, how far down the field will it go before hitting the ground? Round to the nearest tenth of a yard. d. Graph the function that models the football's parabolic path.

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 quarterback tosses a football to a receiver 40 yards
downfield. The height of the football, f(x), in feet, can be
modeled by
Ax) = -0.025x² + x + 6,
where x is the ball's horizontal distance, in yards, from the
quarterback.
a. What is the ball's maximum height and how far from the
quarterback does this occur?
b. From what height did the quarterback toss the football?
c. If the football is not blocked by a defensive player nor
caught by the receiver, how far down the field will it go
before hitting the ground? Round to the nearest tenth of
a yard.
d. Graph the function that models the football's parabolic
path.
Transcribed Image Text:A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by Ax) = -0.025x² + x + 6, where x is the ball's horizontal distance, in yards, from the quarterback. a. What is the ball's maximum height and how far from the quarterback does this occur? b. From what height did the quarterback toss the football? c. If the football is not blocked by a defensive player nor caught by the receiver, how far down the field will it go before hitting the ground? Round to the nearest tenth of a yard. d. Graph the function that models the football's parabolic path.
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