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Exploring Inverse Functions
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Description

This is an investigation that I use to introduce the big ideas of inverse functions. Students graph a linear function by making a table of values, interchange the x & y values in a table of values and graph the resulting function. When students fold the graph along the line y = x they can see that the two graphs are symmetric. The tactile activity is something that students will refer back to as they study more complicated inverse functions. After graphing the investigation leads the students to look at the composition of the two functions, showing that f(g(x)) = x and g(f(x)) = x.
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Exploring Inverse Functions

Rated 5 out of 5, based on 7 reviews
5.0 (7 ratings)
Claudia Heinrich
44 Followers
FREE

Highlights

Digital downloads
Grades icon
Grades
10th - 12th
Pages
3
Answer Key
Included

Description

This is an investigation that I use to introduce the big ideas of inverse functions. Students graph a linear function by making a table of values, interchange the x & y values in a table of values and graph the resulting function. When students fold the graph along the line y = x they can see that the two graphs are symmetric. The tactile activity is something that students will refer back to as they study more complicated inverse functions. After graphing the investigation leads the students to look at the composition of the two functions, showing that f(g(x)) = x and g(f(x)) = x.
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

5.0
Rated 5 out of 5, based on 7 reviews
7
ratings
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Rated 5 out of 5
July 11, 2022
My students loved this resource! It was very helpful.
Megan R.
206 reviews
Grades taught: 9th, 10th
Rated 5 out of 5
August 24, 2019
Thanks for the resource and key!
Phuong Dung H.
7 reviews
Rated 5 out of 5
January 17, 2018
This looks like exactly what my 11th graders need as an introduction to inverse functions!
JustKeepComputing
(TPT Seller)
28 reviews
Rated 4.8 out of 5
December 8, 2016
"That is so cool!" Always a great things to hear from your students.
Sharon S.
13 reviews
Rated 5 out of 5
May 7, 2016
I have 2 strong and 1 weak Alg II class. Used this in the weaker class. Great for connection of concepts, such as: inverse from graph, table values, and use of f(g(x)) or g(f(x)). Thank you!
andre V.
148 reviews
Rated 5 out of 5
May 8, 2015
Great resource. An interesting way to begin looking at inverses!
Algebra Anj
(TPT Seller)
50 reviews
Rated 5 out of 5
September 19, 2013
Thanks! What a neat idea!
Amanda Tucker
(TPT Seller)
9 reviews

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