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Please show the complete solution clearly. Thank you A. 1. Let f(x) = WM. (a) The natural domain of f is _. ('3) f0) =

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Please show the complete solution clearly. Thank you

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A. 1. Let f(x) = WM. (a) The natural domain of f is _. ('3) f0) = (C) fUZ- 1) = (d) for) = 7ifx : (e) The range off is . 2. Line segments in an xy-plane form \"letters" as depicted. Ll/V\\|T (a) If the y-axis is parallel to the letter I. which of the letters represent the graph of y = f (x) for some function f? (b) If the y-axis is perpendicular to the letter I. which of the letters represent the graph of y = for) for some function f? 3. The accompanying gure shows the complete graph of .v = for). (a) The domain of f is . (b) The range of f is _. (C) f (3) = (d) f (g) = 3 (e) The solutions to f(x) = 5 are x = and x = 4 Figure Ext-3 4. The accompanying table gives a 5-day forecast of high and low temperatures in degrees Fahrenheit ( F). (a) Suppose that x and y denote the respective high and low temperature predictions for each of the 5 days. Is y a function of x? If so, give the domain and range of this function. (h) Suppose that x and y denote the respective low and high temperature predictions for each of the 5 days. 15 y a function of x? If so. give the domain and range of this function. A Table Eat-4 5. Let I. w. and A denote the length, width. and area of a rectangle. respectively. and suppose that the width of the rectangle is half the length. (a) If I is expressed as a function of to, then I = . (b) If A is expressed as a function of I, then A = . (c) If to is expressed as afunction of A, then to =

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