10/8 Bell RingerStep 1: Grab today’s material from

front of roomStep 2: GET OUT YOUR

HOMEWORK!Step 3: Answer bell ringer below:

(a) Identify the domain and range of the graph at right.

(b) Is it a function? Why/Why Not?

Homework: Inverse tables and graphs IP and FILL IN VOCABULARY

10/8 News and Notes

• Homework checked?

• HAND IN BELL RINGERS

• Quiz on Tuesday: Look over domain, range, whether something’s a function, inverse tables (today) and whether you can identify a linear, quadratic or exponential function.

• FILL IN YOUR VOCABULARY FROM NOTES!!!!

10/8 Agenda

• I CAN switch x and y values in a table to observe the inverse in a graph.

1. Bell Ringer2. Intro to New Material – 2 examples3. Guided Practice4. Independent Practice

New Material – Example 1

• Today we will investigate the inverse of a function.

• How do we do this?– Step 1: Graph original points and create graph.– Step 2: Switch x and y values (THIS GIVES US OUR

INVERSE)– Step 3: Graph inverse values. This gives us our

inverse function.– Step 4: Make a concluding observation.

X Y

-2 0-1 20 41 62 8

Step 1: Plot these points to get graph.Step 2: Switch x and y values (THIS IS THE INVERSE PART)Step 3: Graph inverse values. This gives us our inverse function.Step 4: Answer 2 concluding questions

X Y

0 -2

2 -1

4 0

6 1

8 2

X Y

-2 0-1 20 41 62 8

•Question 1: What do you notice about the symmetry between the original graph and its inverse?• Line y = x is the line of

symmetry.•Question 2: Is the inverse a function?• YES! It passes the Vertical

Line Test

X Y

0 -2

2 -1

4 0

6 1

8 2

X Y

-2 4-1 10 01 12 4

Step 1: Plot these points to get graph.Step 2: Switch x and y values (THIS IS THE INVERSE PART)Step 3: Graph inverse values. This gives us our inverse function.Step 4: Answer concluding question: Is inverse a function?

X Y

4 -2

1 -1

0 0

1 1

4 2

Each person gets graph paper

Steps for completion:• Draw coordinate plane (min value = -10, max = 10)• Plot points from table:• Switch x and y• Draw line y = x on graph.• Graph inverse (label all pts)• Is the inverse a function?

Write an explanation

X Y-2 4-1 10 01 12 4