2.8 One-to-One Functions and Their Inverses

One-to-one function

A function with domain A is called a(n) ________ if no two elements of A have the same image

Horizontal line test

A function is one-to-one iff no horizontal line intersects its graph more than once

Inverse function

Let f be a one-to-one function with domain A and range B, then its ______ g(x) has domain B and range A. g(y)=x <=> f(x)=y

Anverse function property

Let f be a one-to-one function with domain A and range B. The inverse function satisfies the following cancellation properties

x=y

The graph of a function is reflected across the line _____ to find its inverse