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Alg. II Final

Double Angle Identities

Half- Angle Identities

Families of Function

 

Identities

Parent Functions

constant function
f(x) = a graph is a horizontal line

identity function
f(x) = x points on graph have coordi­­nates (a, a)

quadratic function
f(x) = x2 graph is U-shaped

cubic function
f(x) = x3 graph is symmetric about the origin

square root function
f(x) = sqrt(x) graph is in first quadrant

reciprocal function
f(x) = 1/x graph has two branches

absolute value function
f(x) = │x│ graph is V-shaped

Expone­ntial & Logari­thmic

Logari­­thmic
y = ln x

Expone­­ntial
y = bx
 

Unit Circle

Domain & Range

Doma­in: The domain of a function is the set of all possible input values (often the "­­­x­" variable), which produce a valid output from a particular function. It is the set of all real numbers for which a function is mathem­­­a­t­i­­cally defined.

Range: The range is the set of all possible output values (usually the variable y, or sometimes expressed as f(x)), which result from using a particular function.

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