Chapter 3.2, Problem 29E

To determine

(a)

Whether the given function $f(x)=\Omega (g(x)),f(x)=\Theta (g(x)),withg(x)=x^2$ if $f(x)=17x+11$.

To determine

(b)

Whether the given function $f(x)=\Omega (x),f(x)=\Theta (x)$ if $f(x)=x^2$.

To determine

(c)

Whether the given function $f(x)=\Omega (x),f(x)=\Theta (x)$ if $f(x)=x\log x$.

To determine

(d)

Whether the given function $f(x)=\Omega (x),f(x)=\Theta (x)$ if $f(x)=\frac{x^4}{2}$.

To determine

(e)

Whether the given function $f(x)=\Omega (x),f(x)=\Theta (x)$ if $f(x)=2^x$.

To determine

(f)

Whether the given function $f(x)=\Omega (x),f(x)=\Theta (x)$ if $f(x)=\lfloor x\rfloor \lceil x\rceil$.