Author:
Ohio Open Ed Collaborative
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

    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