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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart
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Chapter 1, Problem 13

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A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.fstd is the height of a football t seconds after kickoff.

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QUESTION:

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.fstd is the height of a football t seconds after kickoff.

ANSWER:

Step 1 of 2

Given:

After kickoff, the height achieved by the football after  seconds is .

The height of the football rises from the moment it is kicked off until it reaches its maximum height as its acceleration decreases to zero, and at some point it starts to fall till it touches the ground with zero acceleration. This means that, when represented by a graph, the height of the ball and the amount of time it takes to move horizontally have a parabolic relationship.

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