Determine from its graph if the function is one-to-one.

Chapter 1, Problem 8E

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QUESTION:

In \(\text{Exercises} \ 7–10\), determine from its graph if the function is one-to-one.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfenced open="{" close=""><mtable columnspacing="1.4ex" columnalign="left"><mtr><mtd><mn>2</mn><mi>x</mi><mo>+</mo><mn>6</mn><mo>,</mo></mtd><mtd><mi>x</mi><mo>&#x2264;</mo><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo></mtd><mtd><mi>x</mi><mo>&gt;</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math>

Equation Transcription:

Exercises 7–10

Text Transcription:

Exercises 7–10

Questions & Answers

QUESTION:

In \(\text{Exercises} \ 7–10\), determine from its graph if the function is one-to-one.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfenced open="{" close=""><mtable columnspacing="1.4ex" columnalign="left"><mtr><mtd><mn>2</mn><mi>x</mi><mo>+</mo><mn>6</mn><mo>,</mo></mtd><mtd><mi>x</mi><mo>&#x2264;</mo><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo></mtd><mtd><mi>x</mi><mo>&gt;</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math>

Equation Transcription:

Exercises 7–10

Text Transcription:

Exercises 7–10

ANSWER:

Solution:

Step 1 of 3:

In this question, we have to determine the function is one to one or not.

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