# Advanced Functions: A Complete Course on Precalculus

Prepare yourself for Calculus and become a master at solving equations and inequalities
Identify and describe key characteristics of polynomial functions
Divide one polynomial by another polynomial
Factor polynomial expressions
Solve problems that involve polynomial equations graphically and algebraically
Solving linear and polynomial inequalities
Rational Functions, Equations and Inequalities
Rate of Change

This course extends students’ experience with functions. Students will investigate the properties of polynomial and rational functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

1
Introduction

### Polynomial Functions

1
Exploring Polynomial Functions
2
Characteristics of Polynomial Functions
3
Characteristics of Polynomial Functions in Factored Form
4
Dividing Polynomials
5
Factoring Polynomials
6
Factoring a Sum or Difference of Cubes
7
Quiz 1

Polynomial Functions

### Solving Polynomial Equations and Inequalities

1
Solving Linear Equation and Inequalities
2
Solving Polynomial Equations and Inequalities which are not Linear
3
Quiz 2

### Rational Functions

1
Exploring Reciprocal Functions
2
Exploring Rational Functions
3
Graphing Rational Functions
4
Correction
5
Solving Rational Functions
6
Quiz 3

### Rate of Change

1
Understanding Rate of Change
2
Understanding different kinds of Rate of Change
3
Determining Average Rate of Change
4
Determining the Instantaneous Rate of Change
5
Rate of Change
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