MAC 2233 Midterm: Exam-1-Review-MAC-2233

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Exam covers lectures 1 10, part i(p. 1 5), sections 1. 1 3. 1. Mac 2233: test 1 review: solve for x: 2(x + 1) 1/3x4/3 (x + 1)2/3x 2/3 = 0, perform the operation and simplify the expression: Include domains: let f (x) = x 1 and g(x) , sketch the graph of f (x) = 3 2x x2 by using a formula to nd the vertex. Starting with y = x, list each trans- (x) and its domain. Find f g x lation used to graph f (x). wise de ned function. Then sketch its graph: use the de nition of absolute value to write the function g(x) = x|x| as a piece, find the inverse of f (x) = 4 x . Be sure to include domain: find the inverse of one-to-one function f (x) = Use that inverse function to nd the range of f (x).

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