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Chapter 5: Q 22. (page 268)

The graph of a function f is given. Use the horizontal-line test to determine whether f is one-to-one.

Short Answer

Expert verified

No, the given function is not one-to-one.

Step by step solution

01

Step 1. Definition

A function is said to be one-to-one if any two different inputs in the domain correspond to two different outputs in the range.

The horizontal line test checks if a function is one-to-one. A one-to-one function has only one x-value for each y-value. If a horizontal line passes through a graph more than once, the function can't be one-to-one.

02

Step 2. Explanation   

Use horizontal line test

The given function is not one-to-one because horizontal line y=2intersects the graph twice at-1.5,2and1.5,2.

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