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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

A function is given by a table of values, a graph, a formula or a verbal description. Determine whether it is one-to-one.

9. f(x) = 2x - 3

To determine

Whether the function f(x)=2x3 is one-to-one.

Explanation

Use horizontal line test to determine whether the function f(x)=2x3 is one-to-one.

Horizontal line test states that the graph of the function is one-to-one function if and only if a horizontal line intersects the graph exactly once.

Sketch the graph of the function f(x)=2x3 and perform the horizontal line test as shown below in Figure 1

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