THE GROWTH OF FUNCTIONS ANSHWER
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The growth of a function is determined by the highest order term: if you add a bunch of terms, the function grows about as fast as the largest term (for large enough input values).
For example, f(x)=x2+1 grows as fast as g(x)=x2+2 and h(x)=x2+x+1, because for large x, x2 is much bigger than 1, 2, or x+1.
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