| |
| |
| |
| Lines | |
| |
| |
| The slope of a line | |
| |
| |
| Equations of lines | |
| |
| |
| Applications of lines | |
| |
| |
| |
| Introduction to Functions | |
| |
| |
| Function Evaluation | |
| |
| |
| More function evaluation | |
| |
| |
| The domain and range of a function | |
| |
| |
| |
| Functions and Their Graphs | |
| |
| |
| Reading a graph | |
| |
| |
| Average rate of change | |
| |
| |
| Even/odd functions | |
| |
| |
| Graphing functions with a calculator | |
| |
| |
| |
| Combinations of Functions | |
| |
| |
| Arithmetic combinations | |
| |
| |
| Composition of functions | |
| |
| |
| 1-1 functions and their inverses | |
| |
| |
| |
| Transformations of a Function | |
| |
| |
| Families of functions | |
| |
| |
| Shifting graphs | |
| |
| |
| Reflections of graphs | |
| |
| |
| Stretching/compressing graphs | |
| |
| |
| |
| Quadratic Functions | |
| |
| |
| The graph of a quadratic function | |
| |
| |
| Finding the vertex | |
| |
| |
| Sketching the graph of a quadratic function | |
| |
| |
| Applications of quadratic functions | |
| |
| |
| |
| Polynomial Functions | |
| |
| |
| The graph of a polynomial function | |
| |
| |
| Sketching the graph of a polynomial function | |
| |
| |
| Polynomial division | |
| |
| |
| The zeros of a polynomial | |
| |
| |
| Complex numbers | |
| |
| |
| Complex solutions to quadratic equations | |
| |
| |
| The Fundamental Theorem of Algebra | |
| |
| |
| |
| Rational Functions | |
| |
| |
| Intercepts and asymptotes for the graph of a rational function | |
| |
| |
| Sketching the graph of a rational function | |
| |
| |
| |
| Exponents and Logarithms | |
| |
| |
| Compound growth | |
| |
| |
| The exponential function and its graph | |
| |
| |
| Logarithms | |
| |
| |
| Evaluating logarithms | |
| |
| |
| Exponential and logarithmic equations (part I) | |
| |
| |
| The graph of the logarithmic function | |
| |
| |
| Exponential and logarithmic equations (part II) | |
| |
| |
| Properties of logarithms | |
| |
| |
| More logarithmic equations | |
| |
| |
| The change of base formula | |
| |
| |
| Applications of logarithms and exponents | |
| |
| |
| |
| Systems of Equations | |
| |
| |
| Solving systems of linear equations by substitution | |
| |
| |
| Solving systems of linear equations by addition | |
| |
| |
| Applications of systems of linear equations | |
| |
| |
| Solving other systems of equations | |
| |
| |
| The graph of an inequality | |
| |
| |
| Solving systems of inequalities | |
| |
| |
| |
| Matrices | |
| |
| |
| Matrix arithmetic | |
| |
| |
| Finding the inverse of a matrix | |
| |
| |
| Using a calculator for matrix computations | |
| |
| |
| Solving systems of equations with matrices | |
| |
| |
| The determinant of a matrix | |
| |
| |
| |
| Conic Sections | |
| |
| |
| The standard equation for a parabola | |
| |
| |
| The standard equation for an ellipse | |
| |
| |
| The standard equation for a hyperbola | |
| |
| |
| Using a calculator to graph a conic section | |