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This assignment will make frequent reference to these two graphs: 10 10 y =1-x2 y =1 --x -4 -3 -2 -1 1 2 3 4

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This assignment will make frequent reference to these two graphs: 10 10 y =1-x2 y =1 --x -4 -3 -2 -1 1 2 3 4 -4 -3 -2 -1 2 3 4 Problem 1: Assume that f is any continuous function. How is the graph of y = If (x ) | related to the graph of y = f (a )? Be specific and use proper mathematical terminology in your answer. ["Special Kudos" to you if you can tie in the concept of function transformations or the piecewise definition of absolute value. Problem 2: Consider the three integrals here: that is shown above (in red), which of these three definite integrals would have a positive value? Which of these three definite integrals would have a negative value? How do you know

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