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e. Compare the appearance of each graph to the appearance of the graph y = f(x). 4. *Some functions f have the property that f(-x)

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e. Compare the appearance of each graph to the appearance of the graph y = f(x). 4. *Some functions f have the property that f(-x) = f(x) for all values of x. Such a function is called even. What does this property tell us about the appearance of the graph of y = f(x)? Show that C(x) = (2* + 2"*) is an even function. Give other examples. 5. Many quadratic equations have no real solutions. The simplest example is x2+1=0. Rather than continuing to ignore such problems, let us do something about them. The traditional approach is to let i stand for a number that has the property ?= -1. The solutions to x2+1=0 are therefore x = i and x = -i, and the solutions to x2-4x+5=0 are x = 2+i and x=2-i. By completing the square, find the solutions to x2-6x+13=0, expressing them in the same a+bi form. (note, can we use another method to solve rather than completing the square?) 6. Given f(x) = Vx and g(x) = x + 9, find: a. f(x-1) b. g(2x) c. f(g(5)) d. g(f(5))

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