+

Inverse Functions

Rating:
(0)
Author: Shirley Beil

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

No credit card required

28 Sophia partners guarantee credit transfer.

281 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

The following video will be available with closed captioning at:

http://youtu.be/-PoIWP3Zya4

Inverse Function Property

The following video will be available with closed captioning at:

http://youtu.be/Nrkdxn6wTW4

Finding the Inverse Function for f(x) = 25/x^2 where x > 0

The following video will be available with closed captioning at:

http://youtu.be/K6Swmp_iBMY

Finding the Inverse Function for f(x) = √(7x-5)

The following video will be available with closed captioning at:

http://youtu.be/Yoh-Af3Xc7g

Finding the Inverse Function for f(x) = √(1-x^2 ), where 0 ≤ x ≤ 1

The following video will be available with closed captioning at:

http://youtu.be/4nv0Pdgb6II

Using the Graph of a Function to Draw the Graph of the Inverse

Note - The graphs of y=f(x) and its inverse were meant to cross on the line y=x

The following video will be available with closed captioning at:

http://youtu.be/EAqh5FPJFQA

The Horizontal Line Test for One-to-One Functions

The following video will be available with closed captioning at:

http://youtu.be/8D92CeRxk7Y

Showing that the Graphs of a Function and its Inverse are Reflections of Each Other Over the Line y=x

I incorrectly said that I was finding the 2 "term" equation for the inverse when I meant the 2 "variable" equation.

The following video will be available with closed captioning at:

http://youtu.be/Py9LaxUUEwM

Restricting the Domain of a Function to Obtain a 1-to-1 Function

Note - The graphs of the two inverse functions would have created a parabola opening to the right with vertex (0,5).

The following video will be available with closed captioning at:

http://youtu.be/EOQhTLvew2E

Using Function Graph to Graph Inverse in WebAssign

There is no significance to the correction marks that appear with the two examples. Both inverses are correctly graphed.

The following video will be available with closed captioning at:

http://youtu.be/PyCCjlyMfGA