Introduction to Advanced Functions: Functions and Graphs

Description

In this course, you will learn:

• Understand the relationships between numerical, pictorial, and algebraic representations of relations and functions.
• Determine if a rule is a function.
• Determine the domain and range of a function.
• The vertical line test determines whether a graph is a function.
• Use the horizontal line test to determine whether a graph represents a one-to-one function.
• Understand and recognize graph attributes (x- and y-intercepts, roots, local extrema, concavity, increasing/decreasing, inflection points, and so on).
• Calculate a function's average rate of change over a given interval.

Syllabus:

Functions and Graphs

• What is a Function?
• Domain and Range of a Function
• Vertical and Horizontal Line Tests
• Properties of Graphs
• Average Rate of Change
• Review: Factoring Techniques
• Examples: Domain and Range
• Example: Function Behavior
• Example: Average Rate of Change
• Example: Piecewise Function
• Example: Multivariable Function