The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

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The range is the set of all valid <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> values. Use the graph to find the range.

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Set-Builder Notation:

Determine the domain and range.

Domain: <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mi>∞</mi><mo>,</mo><mi>∞</mi><mo>)</mo></mrow><mo>,</mo><mrow><mo>{</mo><mi>x</mi><mo>|</mo><mi>x</mi><mo>∈</mo><mi>ℝ</mi><mo>}</mo></mrow></mstyle></math>

Range: <math><mstyle displaystyle="true"><mrow><mo>[</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow><mo>,</mo><mrow><mo>{</mo><mi>y</mi><mo>|</mo><mo>-</mo><mn>1</mn><mo>≤</mo><mi>y</mi><mo>≤</mo><mn>1</mn><mo>}</mo></mrow></mstyle></math>

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