Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses
|Evaluating Function Expressions (sum, difference, product, quotient – 4 videos)|
|Evaluating Composite Functions|
|Evaluating a Function Expressions|
|Domain and Range of a Function and of a Graph|
Recognize and apply knowledge of polynomial, rational, radical, exponential, logarithmic, absolute value and piecewise-defined functions.
|Polynomial Basics (definition of a polynomial, adding, subtracting, multiplying, simplifying) (10 videos)|
|Simplifying Rational Expressions|
|Simplifying Complicated Equations|
|Solving Rational Equations|
|Inequalities (10 videos)|
|Compound and Absolute Value Inequalities|
|Absolute Value Equations and Inequalities|
|Midpoint and Distance Formula|
Apply graphing techniques
|Graphing of Quadratic Equations (including symmetry and roots)|
|Completing the Square|
|Transformations of functions|
|Properties and Features of Functions (including even/odd functions)|
|Graphing Rational Functions|
Use the different theorems of polynomials (including the Rational Zeros Theorem) to evaluate all roots of higher degree polynomial and rational functions.
|Factoring in Order to find Roots|
|Factoring and Roots of Higher Degree Polynomials|
Recognize and solve systems of linear equations and their applications using matrices. a. Basic Matrix Operations (definition, scalar multiplication, addition and subtraction of matrices)
|Basic Matrix Operations (definition, scalar multiplication, addition and subtraction of matrices)|
|Inverses and Determinants of Matrices|
Recognize and solve systems of linear equations and their applications using matrices.
|Basic Sequences and Series (including arithmetic sequences and the nth term of a sequence)|
|Finite Geometric Series|
|Sum of an Infinite Geometric Series|
Recognize the different classifications within the real and complex number systems.