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AA HL / Rational functions

Rational functions

Asymptotes, the domain, and the shape of a rational graph.

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Unit formula summary

Axis of symmetry

\(x = -\frac{b}{2a}\)
Change of base

\(\log_a b = \frac{\ln b}{\ln a}\)
Exponential model

\(f(x) = ka^{x}\)
Inverse functions

\(f(f^{-1}(x)) = x\)
Translation

\(y = f(x-h) + k\)

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