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Unit 2: Exponential and Logarithmic Functions

AP Precalculus — Note Packet

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Key Terms

Exponential Function

A function where the y-values change by a constant between consecutive y-values, typically in the form y = a * b^x.

Base (of an exponential function)

The 'b' in y = a * b^x, which determines if the function represents exponential (if b > 1) or exponential _________ (if 0 < b < 1).

Horizontal Asymptote

A line that an exponential function approaches but never , typically y=0 for the parent function y=b^x.

Logarithm

The inverse of an exponential function, answering the question: 'To what must the base be raised to get this number?' (log_b(x) = y is equivalent to b^y = x).

Logarithm Properties

Rules like the Rule, Quotient Rule, and Power Rule that allow for manipulation and simplification of logarithmic expressions and equations.

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