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Unformatted text preview: PreCalculus Prequiz 7- Functions III Objectives: • You will be able to determine or verify the inverse of a function algebraically • You will be able to identify the inverse of a function graphically by showing that the graphs of a function and its inverse function are symmetrical over the line y = x. • You will be able to check for the existence of an inverse function algebraically (check for one- to- one), numerically, or graphically (using horizontal line test) Name___________________________________ Date____________________ Determine which two functions are inverses of each other. 1) f(x) = 4x g(x) = x 4 h(x) = 4 x 2) f(x) = x- 6 4 g(x) = 4x- 6 h(x) = x + 6 4 Does the graph represent a function that has an inverse function? 3) x y x y 4) x y x y 5) x y x y 6) x y x y 1 Use the graph of f to draw the graph of its inverse function. 7) x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 8) x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 9) x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5...
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