Guided+Learning+3D+Inverse+It

Target 3D: Create the inverse of a function (table and graph).
The graph of the inverse of a function is the reflection of the graph over the line f(x) = x. The inverse of a function can easily be found by switching the x and y values of the function.



The notation for the inverse of a function is math \LARGE f^{-1}(x)\ math Which is read as "f inverse of x" or the "inverse function of f evaluated at x." This notation is used when labeling an inverse of a function.

To see what happens graphically, click on the video below:

media type="youtube" key="TXw5hMgv8gs?feature=player_detailpage" height="360" width="640"

Let's put it all together...

Given the function f(x) = 3x - 1,

a) Create a table of values for the function using the domain {-2, -1, 0, 1} Substitute each of the domain values into the function to find the f(x) value. b) Create a table of values for the inverse of the function

Switch the x and f(x) values in the table.



c) Graph the function and its inverse



Quick Check....given the function f(x) = 4x + 1, repeat steps a - c from above.

Quick Check Solutions - Inverse Functions