Question Type 5: Finding the range of different simple functions Exercises

Find the range of $f(x)=2\cos(3x)-1$.

Find the range of the function $f(x) = x^2$.

Determine the range of $f(x)=3\sin(x)$.

Determine the range of $f(x)=\sqrt{x}$.

Determine the range of $f(x)=x^2+3$.

Find the range of $f(x)=-x^2+5$.

Find the range of the function $f(x)=|x|$.

Find the range of $f(x)=\ln(x-1)$.

Determine the range of $f(x)=e^{8x}+2$.

Find the range of $f(x)=\frac{1}{x-2}$.

Determine the range of $f(x)=\frac{x}{1+x^2}$.