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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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