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
License:
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

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

Compositions of functions