Advanced Functions

5 Topics

Absolute Value Function

Inverse Functions

Piecewise Functions

Average Rate of Change

Instantaneous Rate of Change

Introduction to Polynomials

5 Topics

Monomials, Binomials, Trinomials

Degree of a Polynomial

Adding and Subtracting Polynomials

Multiplying Polynomials

Zeros and Roots of Polynomials

More on Polynomials

5 Topics

Synthetic Division

Dividing Polynomials

Remainder Theorem

Polynomial Inequalities

Rational Functions

Trigonometry and Trigonometric Functions

7 Topics

Angles and Arc Length

Related Acute and Coterminal Angles

Addition and Subtraction Formulas

Trigonometric Identities

Trigonometric Equations

Graphing Trigonometric Functions

Exponential Function

4 Topics

Exponential Function

Exponential Growth and Decay

Logarithmic Function

4 Topics

Logarithmic Function

Properties of Logarithms

Logarithmic Change of Base

Applications of the Logarithm Function

Operations with Functions

4 Topics

Adding and Subtracting Functions

Composition of Functions

Composition of Functions: Identifying f and g

Evaluation of the Composition of Functions

Instantaneous Rate of Change

Advanced Functions Functions Instantaneous Rate of Change

In this topic we look at the instantaneous rate of change of a function.