1.4 Defining New Functions from Old

By the end of your studying, you should know:
Onscreen applet instructions: "Enter a function" means "type the function followed by the Enter key." Use the pulldown menu to see examples of how to indicate operands such as "*" for multiplication, "/" for division, etc.
ExamplesConsider the functionsand determine the domains of fog and gof.
Let
Let f(x) be a function which contains the points
AppletsStretching GraphsShifting Graphs New Functions from Old New Functions from Old Game Arithmetical Operations on Functions Inverse Functions
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 1.4 Defining New Functions from Old (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications

1.3 Functions and Their Graphs  Table of Contents  1.5 Trigonometric Functions 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel