6 3 6 3 「6

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section: Chapter Questions
Problem 15CT
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Question

Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

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Transcribed Image Text:6 3 6 3 「6
Expert Solution
Step 1

We have a graph of the function and write the interval where given function 'f' is one-to-one.6363「6

Algebra homework question answer, Step 1, Image 1
Step 2

One-to-One function :

A function is one-to-one if and only if it never gives the same value for different x's or it must be different y value for each different x.

In other words, Given graph must be pass the Horizontal line test.

Here no horizontal line cuts the grpah more than one time.

Algebra homework question answer, Step 2, Image 1
Step 3

We check the given graph is one-to-one or not.

The horizontal lines blue, orange, green intercept the graph more than once,

It means at same value of x, there are more than one y values.

So, from x = -2 to x =2 or [-2,2] grpah is not one-to-one.

Algebra homework question answer, Step 3, Image 1
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