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Published byNigel Robertson Modified over 9 years ago

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10/8 Bell Ringer Step 1: Grab today’s material from front of room Step 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

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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!!!!

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10/8 Agenda I CAN switch x and y values in a table to observe the inverse in a graph. 1.Bell Ringer 2.Intro to New Material – 2 examples 3.Guided Practice 4.Independent Practice

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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.

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XY -20 2 04 16 28 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 XY 0-2 2 40 61 82

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XY -20 2 04 16 28 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 XY 0-2 2 40 61 82

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XY -24 1 00 11 24 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? XY 4-2 1 00 11 42

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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 XY -24 1 00 11 24

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