POLYNOMIAL, RATIONAL, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS College Algebra

The Factor Theorem The factor theorem Solving polynomial equations

The Zeros of a Polynomial Function The remainder theorem The fundamental theorem of algebra The rational root theorem

The Theory of Equations The number of roots to a polynomial equation The conjugate pairs theorem Descartes’ rule of signs Bounds on the roots

Graphing Polynomial Functions Symmetry Behavior at the x-intercepts Sketching graphs of polynomial functions

Graphing Rational Functions Rational functions Asymptotes Sketching graphs of rational functions

Exponential Functions Exponential functions Domain Graphing exponential functions Transformations of exponential functions Exponential equations Applications

Logarithmic Functions Logarithmic functions Domain and range Graphing logarithmic functions Logarithmic equations Applications

Properties of Logarithms Inverse properties Product rule for logarithms Quotient rule for logarithms Power rule for logarithms Using the properties

Solving Equations Logarithmic equations Exponential equations Changing the base Strategy for solving equations Applications