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2. Show that each of the following functions is O(x^2 ). Clearly state your C and...

2. Show that each of the following functions is O(x^2 ). Clearly state your C and k and show that |f(x)| ≤ C|x^2 | for x > k.

a. f(x) = 17x + 11

b. f(x) = x^2 + 1000

c. f(x) = floor function[x] · ceiling function[x].

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