FUNCTIONS

-Review-

(All underlined are actual links.  Click to open each topic!)

 

Introduction to Functions

Tutorial which is an introduction to functions including the four representations of a function, domain, and range.

·         Drill on finding domains of functions.

Piecewise Defined Functions

Tutorial on piecewise defined functions.

·         Drawing the graph of a piecewise defined function with

·         TI-86 Graphing Calculator [Using Flash]

·         TI-85 Graphing Calculator

Even and Odd Functions

Tutorial on even and odd functions.

·         A quiz on determining which functions are even, odd or neither.

Polynomials

Tutorial on polynomial functions.

·         Finding the roots of polynomials with

·         TI-86 Graphing Calculator [Using Flash]

Rational Functions

Tutorial on rational functions.

 

Geometric Transformations of Functions

Tutorial on the translation, compression, stretching and reflection of graphs of functions.

·         A Java applet to explore graphically the effect of transforming a graph with translations, vertical and horizontal stretching and reflections.

·         A quiz to explore graphically the effect of transforming a graph with translations, vertical and horizontal stretching and reflections.

·         Given a function, draw the graphs of functions obtained by shifting the graph of a given function using the

·         TI-86 Graphing Calculator [Using Flash]

·         TI-85 Graphing Calculator

Algebra of Functions

·         Drawing the graph of the sum of two functions with a

o    TI-86 Graphing Calculator [Using Flash]

o    TI-85 Graphing Calculator

Composition of Functions

Tutorial on the composition of functions.

·         A Java applet illustrating the geometrical construction of the composition of two functions

·         TI-86 Graphing Calculator [Using Flash]

·         TI-85 Graphing Calculator

·         Drill problems on writing a function as the (nontrivial) composition of two other functions.

Trigonometric Functions

·         A listing of trigonometric identities.