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

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

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

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

Graph of an Inverse Function

(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.

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

Existence of an Inverse Function

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

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

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).