Math 3 Unit 1 Inverse Functions
How to find the domain and range of the inverse of f(x)
Switch the domain and range of f(x)
Domain of a function
The set of all inputs over which a function is defined
Range of a function
The set of all possible resulting values of the dependent variable when all of the inputs in the domain have been substituted for the independent variable
If a function passes both the horizontal line test and the vertical line test
one-to-one
How to tell if two graphs are inverses graphically
reflection/symmetrical over y=x
Vertical Line Test
Proves that a relation is a function
Steps to finding inverses algebraically
-Rewrite x as y -Switch -solve the new equation for y -If function, write as f^-1 (x)
What is an inverse function?
A function that results from switching the x and y values of a given relation
Horizontal line test
Determines whether or not the inverse of a function is a function