In this lecture Professor Switkes will walk you through a Review of Functions often used in Calculus. First you will go over what is a function with definitions of the Domain and Range, as well as the Vertical Line Test. From there you will see several examples covering Square Functions, Natural Log Functions, and Exponential Functions. Then you will review Odd Functions and Even Functions followed by Increasing Functions and Decreasing Functions. Lastly you will cover more Types of Functions such as Polynomial Functions, Power Functions, Trigonometric Functions, Rational Functions, Exponential Functions, and Logarithmic Functions. The lecture is completed after four video examples to fully cement your understanding.
These are review
topics from algebra and pre-calculus it would be good to just
briefly brush up on these things!
As you go through
calculus, it will be important to use the correct terminology for
the various terms associated with functions clear mathematical
communication is important!
Review of Functions
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.