[tex]\huge\color{green}\boxed{Question:}[/tex]
What are the steps in graphing an inverse function?
________________________________________________________
[tex] \huge\green{Answer:}[/tex]
GRAPHS OF INVERSE FUNCTIONS:
Inverse functions have graphs that are reflections over the line y = x and thus have reversed ordered pairs.
Let's use this characteristic to identify inverse functions by their graphs.
GUIDELINES FOR FINDING IDENTIFYING INVERSE FUNCTIONS BY THEIR GRAPHS:
1. Sketch both graphs on the same coordinate grid.
2. Draw the line y = x and look for symmetry.
a. If no symmetry is apparent, the functions are not inverse functions.
b. If symmetry is apparent, go to Step 3 to verify.
3. Compare the coordinates of at least four points to determine if they are reversed. If so the functions are inverses.
_________________________________________________________
[tex]\huge\frak\color{green}{Explanation:}[/tex]
So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.
_________________________________________________________
#CarryOnLearning
