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Unit 1
Transformations of Functions
Parent Functions
Piecewise Functions
Properties of Exponents
Polynomials
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Addition
Subtraction
Multiplication
Factor and Remainder Theorem
Function Operations and Compositions
Unit 2
Imaginary Numbers
Complex Numbers
Factoring
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Factor and Solve Polynomial Equations
Solve x^2 + bx + c = 0
Solve ax^2 + bx + c = 0
Finding Square Roots
Completing the Square
Using the Quadratic Formula and the Discriminant
Unit 3
Graphing Quadratic Functions in Standard Form
Graphing Quadratic Functions in Vertex or Intercept Form
Graphing and Solving Quadratic Inequalities
System of Equations
Unit 4
Find Rational Zeros
Apply the Fundamental Theory of Algebra
Analyze Graphs of Polynomial Functions
Unit 5
Multiplying and Dividing Rational Expressions
Add and Subtract Rational Expressions
Graph Simple Rational Functions
Graph General Rational Functions
Unit 6
Use Inverse Functions
Evaluate nth Roots and Use Rational Exponents
Apply Properties of Rational Exponents
Graph Square and Cube Root Functions
Solve Radical Equations
Unit 7
Graphing Exponential Growth Functions
Graphing Exponential Decay Functions
Use Functions Involving e
Evaluate Logarithms and Graph Logarithmic Functions
Apply Properties of Logarithms
Parent Functions:
A parent function is the most basic function in a family of functions, or an original function before transformations are applied. Examples of parent functions are as follows: