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

Question

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.

Video Solution

Solution Steps

00:00 Is the function increasing, decreasing or constant?

00:04 Let's check using a table

00:10 Let's substitute X values and calculate the Y values

00:31 We can see that the function is increasing

00:36 And this is the solution to the question

Step-by-Step Solution

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.

Answer

Growing

Related Subjects

Question Types

Increasing and Decreasing Intervals of a Function: Identifying increase and decrease from a verbal description of the function