A Library of Functions This presentation will review the behavior of the most common functions including their graphs and their domains and ranges. See.

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Presentation transcript:

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.

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

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

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

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

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

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

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

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

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

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

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