For the following function, prove it is in the givenBig(g(n)) by showing it is in both BigO(g(n)) and Big(g(n)). Provide a graph for both BigO and Big with the constants you chose. You may use any online graphing generator to create the graph. Make sure all functions are on the same graph including f(n).

Show that f(n)=14n2+11n is in (n2).

f(n) = 14n2 + 11n is in big((n2)

setting c = 15 and n0 = 1,

14n^2 + 11n <= 15 * n^2 for all n >= 1

f(n) = 14n2 + 11n is in BigO(n2)

all n >= n0, 14n2 + 11n >= c * n2

Setting c = 13 and n0 = 1,

14n^2 + 11n >= 13 * n^2 for all n >= 1

big(n2) contains f(n) = 14n2 + 11n

however, im not sure how to graph this