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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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Inverse Functions Objective Students will know how to find inverses of functions graphically and algebraically.
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Find the inverse function of f informally. Verify that and.
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Graph of an Inverse Function
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(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.
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Match the graph of the function with the graph of the graph of its inverse function.
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Existence of an Inverse Function
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Determine if the graph is that of a function. If so, determine if the function is one-to-one.
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Determine algebraically whether the function is one-to-one.
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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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