Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Basic Functions, Cac077, Domain and Range, Function, Piecewise Defined Functions, Positive or Negative Function
Language:
English
Media Formats:
eBook, Interactive

# Understanding Functions Modules

## Overview

After completing this section, students should be able to do the following.

• State the definition of a function.
• Find the domain and range of a function.
• Distinguish between functions by considering their domains.
• Determine where a function is positive or negative.
• Plot basic functions.
• Perform basic operations and compositions on functions.
• Work with piecewise defined functions.
• Determine if a function is one-to-one.
• Recognize different representations of the same function.
• Define and work with inverse functions.
• Plot inverses of basic functions.
• Find inverse functions (algebraically and graphically).
• Find the largest interval containing a given point where the function is invertible.
• Determine the intervals on which a function has an inverse.

# Same or different?

## Ximera Module

Two young mathematicians examine one (or two!) functions.

# For each input, exactly one output

## Ximera Module

We define the concept of a function.

# Compositions of functions

## Ximera Module

We discuss compositions of functions.

# Inverses of Functions

## Ximera Module

Here we undo'' functions.