Question Type 2: Finding where a polynomial is increasing or decreasing up to cubics Exercises

Find the intervals on which the function $f(x)=x^2-4$ is increasing and decreasing.

Determine where $f(x)=3x^2+6x+2$ is increasing and decreasing.

Find the intervals of increase and decrease for $f(x)=x^3$.

Determine where the cubic $f(x)=4x^3-12x$ is increasing and decreasing.

Find where $f(x)=x^3-3x$ is increasing and decreasing.

Determine intervals of increase and decrease for $f(x)=x^3-3x^2$.

Find the increasing and decreasing intervals for $f(x)=x^3-6x^2+9x$.

Find the intervals of increase and decrease for $f(x)=-2x^3+3x$.

Determine where $f(x)=2x^3+3x^2-12x$ is increasing and decreasing.

Determine where $f(x)=x^3-3x+1$ is increasing and decreasing.

Find the intervals of increase and decrease for $f(x)=x^3-3x^2-9x+5$.

Determine where $f(x)=-x^3+6x^2-9x+2$ is increasing and decreasing.

Find the intervals of increase and decrease for $f(x)=x^3-2x^2-x+2$.