Analyzing Cubic Functions: Determining Increasing, Decreasing, or Constant Behavior

Determine whether the function is increasing, decreasing, or constant. For each function check your answers using a graph or a table. Each number is multiplied by itself three times.

The function is:

$f(x)=xxx$

Let's start with x equal to 0:

$f(0)=0\times0\times0=0$

Now let's assume x is equal to 1:

$f(1)=1\times1\times1=1$

Now let's assume x is equal to 2:

$f(2)=2\times2\times2=8$

Let's record all the data in a table:

Note that the function is always increasing.