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