Inverse Functions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
---|---|---|---|---|---|
Test graph for inverse function | (f*f')(x)=x and (f'*f)(x)=x
🗑
|
||||
Example of Inverse Function (Using previous card) | f'={(0,1),(-2,7),(-6,3),(4,4)}
🗑
|
||||
Example of one-to-one | f={(1,0),(7,-2),(3,-6),(4,4)}
🗑
|
||||
Solve by graphing | A function can be tested using the horizontal line test. If a horizontal line passes through the graph only one time, the function is one-to-one.
🗑
|
||||
One-to-one | Each input corresponds to one output, and one output corresponds to one input.
🗑
|
||||
Inverse Function | To get the inverse of a one-to-one functions, simply switch the inputs and outputs in each ordered pair.
🗑
|
||||
f(x)=2/5x+12 | f^-1(x)=2-12x/5x
🗑
|
||||
f(x)=x-7/11 | f^-1(x)=11+7x
🗑
|
||||
f(x)=1/2x+3 | f^-1(x)=2x-6
🗑
|
||||
f(x)=4x+8 | f^-1(x)=x-8/4
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
korene3
Popular Math sets