Intermediate Algebra
Functions

Section 3.5: Functions and Relations Review

Definition of a function:

A function is a set of ordered pairs in which no two pairs have the same first coordinate and different second coordinates.

(The domain of a function is the set of first coordinates.

The range of a function is the set of second coordinates.)

"Beam me up Scotty"

Video Courtesy of www.mediamath.com (http://www.youtube.com/watch?v=8wMq0CkTieE )

Review the following function problem: 

Four Representations of Functions:

• Symbolic or algebraic representation

• Numerical (tables) representation

• Graphical representation

• Verbal representation

Symbolic or algebraic representation

Look at the following algebraic expressions in the quiz group and determine if the relation is also a function.

ADD QUIZ GROUP HERE 

Numerical (tables) representation

View the flash video explaining numerical representation of functions then try the problems in the group quiz to see if you can determine if a table shows a relation that is also a function. Click here to view the flash video discussion on numerical representation of a function.

(Visual Calculus: Functions: Numerical Discussion: http://archives.math.utk.edu/visual.calculus/0/functions.11/3.html).

Graphical representation

View the video and then go to the group quiz for a self-assesment. Click here to view the flash video explaining graphical representation of a function.

(Visual Calculus: Functions: Graphical Discussion: http://archives.math.utk.edu/visual.calculus/0/functions.11/4.html).

Verbal representation

View the flash video explaining verbal representation of functions. Click here to view the flash video.

(Visual Calculus: Functions: Verbal Discussion: http://archives.math.utk.edu/visual.calculus/0/functions.11/5.html).