FUNCTIONS Piecewise Defined Functions (Page 3 of 4)

For a general piecewise-defined function consisting of two or more expressions, we define each expression as a separate function and use a test function to restrict the domain as necessary. Here is how we would graph

f(x) = 2x+1 if x <= -1, or x^2-3 if x > -1.

This function "stitches together" two expressions. Enter the first expression divided by its domain as Y1, the second expression and domain as Y2. Both the expression and the domain must be enclosed within parentheses.

 Y= key. CLEAR key.
 Left parenthesis key. 2 X,T,theta,n key. Plus key. 1 Right parenthesis key. Divide key. Left parenthesis key. X,T,theta,n key. 2nd TEST key. 6: menu selection.
 Negation key. 1 Right parenthesis key. ENTER key.
 Left parenthesis key. X,T,theta,n key. x-squared key. Minus key. 3 Right parenthesis key. Divide key. Left parenthesis key. X,T,theta,n key. 2nd TEST key.
 3: menu selection. Negation key. 1 Right parenthesis key.
Calculator screen image.
Copyright © 2010 Turner Educational Publishing
Go back to the previous page. Go to the next page. Go to the Table of Contents. Go to the Index page. Go to the Quiz page. Exit to the Home page.