To establish a big-O relationship, find witnesses C and k such that |f (x)| ≤ C|g(x)| whenever x > k

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To establish a big-O relationship, find witnesses C and k such that |f (x)| ≤ C|g(x)| whenever x > k. Determine whether each of these functions is O(x²).

a) f (x) = 17x + 11
b) f (x) = x² + 1000
c) f (x) = x log x
d) f(x)=x4/2
e) f(x)=2x
f) f (x) = ⌊x⌋ · ⌈x⌉