Lesson 5.6 Inverse of a Function COMPLETE 1 .pptx -...

February 10
th
Agenda:
1. Check HW 5.5
2. Look at Quiz 5.0-
5.2
3. Lesson 5.6
4. Work time
Objectives:
-Find the inverse of a
relation
-Find the inverse of a
function
-Graph a function and
its inverse
-Find the domain of a
function and of its
inverse
Homework:
WS
Complete Score
13 5
10-12 4
7-9 3
4-6 2
1-3 1
0 0

5.6 Inverse of a Function

-5 -4 -3 -2 -1 1 2 3 4 5
-5
-4
-3
-2
-1
1
2
3
4
5
-5 -4 -3 -2 -1 1 2 3 4 5
-5
-4
-3
-2
-1
1
2
3
4
5
-5 -4 -3 -2 -1 1 2 3 4 5
-5
-4
-3
-2
-1
1
2
3
4
5
Inverse Relation
Ordered pairs ( x , y ) show us a relation ship between x values and y
values. We can show this by graphing.
Ex 1) Ex 2)
-5 -4 -3 -2 -1 1 2 3 4 5
-5
-4
-3
-2
-1
1
2
3
4
5
x 1 2 3 4
y -1 0 1 1
-5 -4 -3 -2 -1 1 2 3 4 5
-5
-4
-3
-2
-1
1
2
3
4
5
-5 -4 -3 -2 -1 1 2 3 4 5
-5
-4
-3
-2
-1
1
2
3
4
5
x -1 2 0 1
y 3 1 2 4
x
y
x
y
Reflected
over the line
y = x
Main Idea: Interchange x and y

Interchanging x and y
Ex 3) Find the inverse of y = 4 x – 1.
a) Is the inverse a function?
b) Find the domain of each.
c) Graph the function and its inverse.

Ex 4) Find the inverse of
a) Is the inverse a function?
b) Find the domain of each.
.