10/8 Bell Ringer Step 1: Grab today’s material from front of room Step 2: GET OUT YOUR HOMEWORK!...
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Transcript of 10/8 Bell Ringer Step 1: Grab today’s material from front of room Step 2: GET OUT YOUR HOMEWORK!...
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