This document discusses inverse functions. It explains that an inverse function switches the x and y values of the original function. It provides examples of finding the inverse of functions like y=2x-4 and verifying two functions are inverses. It also discusses graphing the inverses of quadratic and cubic functions and whether they pass the horizontal line test to be considered a function. The document ends with assigning homework problems related to inverse functions.

1. Algebra 2
7.4 Inverse Functions
What does inverse mean?
How are a function and its inverse related?
An inverse function ________________________ x and y.
EX1: Find an inverse to y = 2 ξ − 4 .
Functions f and g are inverses of each other if:
________________________ and __________________________
Notation: The inverse of f (x) is written f −1 ( ξ) .
1
EX2: Verify that f (x) = 2 ξ − 4 and f ( ξ) = ξ + 2 are inverses.
−1
2

2. Non-linear Inverses
Graph y = x2 and its inverse.
Is the inverse a function?
What is the equation for the inverse?
What about y = x3 and its inverse?
Is it a function?
What is the equation for the inverse?
Horizontal Line Test:
What are the domains of the above functions and relations?
HW p. 426 (20 – 30 even, 33 – 35, 36 – 40 even)