BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.6, Problem 13E
To determine

Whether the function which reflects the height of the football at t seconds after kickoff.

Expert Solution

Answer to Problem 13E

The function is not a one-to one function.

Explanation of Solution

The given function is, f(t)=Height of the football t s after kickoff .

It is known that the football will reach ground in few seconds after kickoff. And hence the foot ball will reach the same height at two different times. Thus, the graph of the function f(t)=Height of the football t s after kickoff is shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.6, Problem 13E

From Figure 1, it is observed that the horizontal line intersects the curve at two points, which means it fails the horizontal line test. Thus, it can be concluded that the function f(t)=Height of the football t s after kickoff is not a one-to-one function.

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