Let f and g be the functions given by f(x) = x^2 and g(x) = x|x|.
g. Compare and contrast f and g. How are they alike? How are they different?
h. Is there a value of x, such that f(x) + g(x) = -100 ? If so, find x. If not, explain why no such value exists.
i. Is there a value of x such that f(x) + g(x) = 50 ? If so, find x. If not, explain why no such value exists.
g. The functions will return the same value when x ≥ 0
When x < 0, the graph of g(x) will be the graph of f(x) reflected across the x axis
h No such value exists.......when x ≤ 0, the first function will produce a positive value and the second function will produce the negative of this value....thus......their sum wil = 0
i Note that when x = 5 ..... f(x) = (5)^2 = 25 and g (x) = 5 l 5 l = 25
So f(5) + g(5) = 25 + 25 = 50