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- Coordinate Plane Overview
- Distance Formula
- Midpoint Formula
- Graphing Equations by Plotting Points
- Intercepts of a Graph and an Equation
- Testing Graphs for Symmetry
- Testing Equations for Symmetry
- Common Parent Functions
- Slope of a Line
- Graphing Lines in Different Forms
- Horizontal and Vertical Lines
- Parallel and Perpendicular Lines

- Relations and Functions
- Evaluating Functions
- Zeros of a Functions
- Restricting the Domain of a Function
- Operations on Two Functions
- Vertical Line Test
- Determining Even and Odd Functions Graphically
- Determining Even and Odd Functions Algebraically
- Increasing, Decreasing, and Constant Intervals
- Finding the Average Rate of Change/The Secant Line
- Parent Functions
- Greatest Integer Function
- Piecewise Functions
- Transformations of Functions
- Vertical Compression and Stretching
- Horizontal Compression and Stretching
- Reflecting over the X-Axis
- Reflecting over the Y-Axis

- Linear Function Forms
- Average Rate of Change
- Finding Zeros of Linear Functions
- Linear Scatter Plots
- Direct and Inverse Variation
- Quadratic Function Forms
- Finding Zeros of Quadratic Functions by Factoring
- Finding Zeros of Quadratic Functions by Taking Square Root
- Finding Zeros of Quadratic Function by Completing the Square
- Finding the Zeros of Quadratic Functions by Quadratic Formula
- The Discriminant
- Finding Zeros of Functions in Quadratic Form
- Graphing Quadratic Functions Using Transformations
- Graphing Parabolas Using Vertex, Axis of Symmetry, and Intercepts
- Graphing Quadratic Functions in Vertex Form
- Finding the Quadratic Function Given Quadratic Information
- Solving Quadratic Inequalities
- Finding Complex Zeros of Quadratic Functions
- Solving Absolute Value Equations
- Solving Absolute Value Inequalities

- Definition of a Polynomial Function
- Definition of a Power Function
- Identifying Zeros and Their Multiplicity
- Turning Points of a Polynomials
- End Behavior of Polynomials
- Rational Functions Defined and Domains of Rational Functions
- Graphing Proper Rational Functions
- Finding Oblique Asymptotes
- Graphing Rational Functions
- Graphing More Rational Functions
- Graphing Rational Functions with Holes
- Solving Polynomial Inequalities
- Dividing Polynomials with Long Division
- Dividing Polynomials Using Synthetic Division
- Remainder Theorem and Factor Theorem
- Decartes Rule of Signs
- Rational Zero Theorem
- Finding the Rational Zeros of a Polynomial
- Finding the Complex Zeros of a Polynomials
- Finding the Polynomial of Least Degree
- Synthetically Dividing Imaginary Zeros to Find Other Zeros

- Composite Functions
- Finding the Domain of Composite Functions
- One-to-One Functions and the Horizontal Line Test
- Inverse Functions and Their Graphs
- Properties of Exponents
- Exponential Functions and Their Graphs
- The Number e
- Solving Exponential Equations
- Changing Between Logarithmic Expressions and Exponential Expressions
- Finding the Exact Value of Logarithmic Expressions
- Finding the Domain of Logarithmic Functions
- Logarithmic Functions and Their Graphs
- The Natural Log
- The Common Log
- Properties of Logarithms
- Expanding Logarithmic Expressions
- Condensing Logarithmic Expressions
- Change of Base Formula with Logarithms
- Solving Logarithmic Equations
- Solving Exponential Equations Using Logarithms
- Simple Interest and Compound Interest
- Continuous Compounding Interest
- Present Value Formula
- Exponential Growth and Exponential Decay
- Uninhibited Growth and Decay

- Different Types of Conic Sections
- Parts of a Parabola and Its Equations
- Graphing Parabolas
- Determining the Equation of a Parabola
- Parts of a Circle and Its Equation
- Graphing Circles
- Determining the Equation of a Circle
- Parts of an Ellipse and Its Equation
- Graphing Ellipses
- Determining the Equation of an Ellipse
- Parts of a Hyperbola and Its Equation
- Graphing Hyperbolas
- Determining the Equation of a Hyperbola
- Putting Conic Equations in Standard Form by Completing the Square
- Determining the Conic Represented by an Expanded Equations
- Solving a System of Conic Equations

- Solving a System by Graphing
- Solving a System by Substitution
- Solving a System by Elimination
- Solving a System of Three Equations
- Solving a System of Two Equations Using Matrices
- Solving a System of Three Equations Using Matrices
- Solving a Nonlinear System of Equations
- Solving a System of Conic Equations
- Solving a System of Two Linear Inequalities
- Solving a System of Multiple Linear Inequalities
- Solving a System of Nonlinear Inequalities
- Linear Programming

- Determinants of Square Matrices
- Cramer's Rule of 2 by 2 Matrices
- Cramer's Rule for 3 by 3 Matrices
- Adding and Subtracting Matrices
- Scalar Multiplication with Matrices
- Multiplying Matrices
- The Identity Matrix
- Finding the Inverse of a 2 by 2 Matrix
- Finding the Inverse of a 3 by 3 Matrix
- Solving a System of Equations Using Inverse Matrices

- Writing the Terms of a Sequence
- Determining the Sequence by Using Patterns
- Factorials
- Recursive Sequences
- Summation Notation
- Summation Properties
- Arithmetic Sequences
- The nth Term of an Arithmetic Sequence
- The Sum of the First n Terms of an Arithmetic Sequence
- Arithmetic Means of Arithmetic Sequences
- Geometric Sequence
- The nth Term of a Geometric Sequence
- The Sum of the First n Terms of a Geometric Sequence
- Geometric Means of Geometric Sequences
- The Sum of an Infinite Geometric Series
- Mathematical Induction
- Evaluate "n taken r at a time"
- Creating Pascal's Triangle
- Binomial Theorem and Pascal's Triangle
- Finding a Specific Coefficient Using Binomial Expansion
- Finding the nth Term of a Binomial Expansion

- Introduction to Sets (Elements, Intersections, Unions and Subsets)
- Complement of a Set
- Sets and Venn Diagrams
- The Number of Elements in a Set
- Solving Problems with Multiplication
- Combinations
- Permutations with Distinct Objects
- Permutations with Nondistinct Objects
- Basic Probability
- Probability of Mutually Exclusive Events