Functions and Graphs
Explore functions, mapping, domains, ranges, and basic graphing techniques with examples and visual interpretations.
Topics Covered
Function definitions, domain and range, types of functions, plotting points, interpreting graphs, transformations, slope, intercepts.
Functions
Representing Functions
Combining Functions
Symmetry of Functions
Linear Functions and Slope
Polynomials
Algebraic Functions
Transcendental Functions
Piecewise-Defined Functions
Transformations of Functions
Radian Measure
The Six Basic Trigonometric Functions
Trigonometric Identities
Graphs and Periods of the Trigonometric Functions
Existence of an Inverse Function
Finding a Function’s Inverse
Inverse Trigonometric Functions
Exponential Functions
The Number e
Logarithmic Functions
Hyperbolic Functions