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A Library of Functions This presentation will review the behavior of the most common functions including their graphs and their domains and ranges. See AP Calculus in a Nutshell for a more in depth review.

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The Identity Function Domain: All real numbers Range: All real numbers

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The Absolute Value Function Domain: All real numbers Range: All real numbers greater than or equal to 0

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The Square Function Domain: All real numbers Range: All real numbers greater than or equal to 0

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The Cube Function Domain: All real numbers Range: All real numbers

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The Square Root Function Domain: All real numbers greater than or equal to 0 Range: All real numbers greater than or equal to 0

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The Cube Root Function Domain: All real numbers Range: All real numbers

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The Natural Logarithmic Function Domain: All real numbers greater than 0 Range: All real numbers

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The Exponential Function to Base e Domain: All real numbers Range: All real numbers greater than 0

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The Sine Function Domain: All real numbers Range: All real numbers between -1 and 1, inclusive

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The Cosine Function Domain: All real numbers Range: All real numbers between -1 and 1, inclusive

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The Tangent Function Domain: All real numbers not equal to odd multiples of pi/2 Range: All real numbers

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Library of Functions You should be familiar with the shapes of these basic functions. We'll learn them in this section.

Library of Functions You should be familiar with the shapes of these basic functions. We'll learn them in this section.

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