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Lesson 1.6 Page 69: #1-77 (EOO) EXTRA CREDIT: Pages 83-87 (Do any 20 problems…You choose )

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Presentation on theme: "Lesson 1.6 Page 69: #1-77 (EOO) EXTRA CREDIT: Pages 83-87 (Do any 20 problems…You choose )"— Presentation transcript:

1 Lesson 1.6 Page 69: #1-77 (EOO) EXTRA CREDIT: Pages 83-87 (Do any 20 problems…You choose )

2 Inverse Functions Objective Students will know how to find inverses of functions graphically and algebraically.

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4 Find the inverse function of f informally. Verify that and.

5 Graph of an Inverse Function

6 (a) Show that f and g are inverse functions algebraically (b) numerically using a table (c) graphically in the same viewing window (d) describe the relationship between the graphs.

7 Match the graph of the function with the graph of the graph of its inverse function.

8 Existence of an Inverse Function

9 Determine if the graph is that of a function. If so, determine if the function is one-to-one.

10 Determine algebraically whether the function is one-to-one.

11 Finding Inverses of Functions Step 1: Write the original function. Step 2: Replace f(x) with y. Step 3: Switch x and y. Step 4: Solve for y. Step 5: Replace y with f -1 (x).

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