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Unit 1: Polynomial and Rational Functions
- Topic 1.2, 1.3Average rate of changeThe change in output over the change in input, the slope of a secant line, for polynomial functions.
- Topic 1.5Zeros and multiplicityRead zeros, multiplicities and the number of complex zeros from a factored polynomial.
- Topic 1.6End behavior of polynomialsUse the degree and sign of the leading term to say what happens as x increases or decreases without bound.
- Topic 1.7, 1.8, 1.9, 1.10Asymptotes, zeros and holesFind the horizontal asymptote, zero, vertical asymptote or hole of a rational function in factored form.
Unit 2: Exponential and Logarithmic Functions
- Topic 2.1Arithmetic and geometric sequencesFind a term from a common difference or a common ratio, starting from any known term.
- Topic 2.9, 2.12Logarithm valuesEvaluate a logarithm by asking what power of the base gives the input, then combine logarithms with their properties.
- Topic 2.13Exponential and logarithmic equationsUndo an exponential with a logarithm and a logarithm with an exponential, then check the answer is in the domain.