1. POLYNOMIAL, RATIONAL, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS College Algebra

2. The Factor Theorem The factor theorem Solving polynomial equations

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

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

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

6. Graphing Rational Functions Rational functions Asymptotes Sketching graphs of rational functions

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

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

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

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