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1. Use MAPLE to graph the following piecewise function (locate any intercepts). 1. Determine if the function p(x) = 3x + 5x is even, odd

1. Use MAPLE to graph the following piecewise function (locate any intercepts).

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1. Determine if the function p(x) = 3x + 5x is even, odd or neither. a) Using algebraic approach. b) Using maple to graph p. Explain all your conclusions. 2. Consider the following transformation of the function f(x)= vx. a) Shift it to the right 2 units. Denote the function that results from this transformation by f1. b) Shift fl down 1 unit. Denote the function that results from this transformation by f2. c) Reflect f2 to the x-axis. Denote the function that results from this transformation by f3. d) Use MAPLE to Plot f, f1, f2, f3 in the same coordinate system. 3. s(x() = -x, g(x) = -(x - 4)-5 a) Define the above functions in Maple appropriately. Graph the functions in the same coordinate plane. b) Write the domain and range for each function. Do the shifts affect the domain or range? Explain. 4. Use MAPLE commands to define the functions and graph them. Explain any vertical stretched, vertical compressed, horizontal stretched or horizontal compressed. For each letter below, graph each function on the same coordinate plane. a) a(x)= |xL._=(5x). bj b(x)= x'-1, b(4x), 4*b(x)

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