IB Mathematics Applications & Interpretation Question Type 2: Finding Where a Polynomial Is Increasing or Decreasing Up to Cubics Exercises

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

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

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

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

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

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

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

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

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

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

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

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

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