How do you graph f(x)=x32x4?

1 Answer
Jul 23, 2018


Please read the explanation.

Explanation:


We are given the Cubic Function: y=f(x)=x32x4

To find the y-intercept:

Set (x=0) to find the corresponding of (y)

y=032(0)4

y=(4)

Hence, we understand that (0,4) is the y-intercept of the graph of the given cubic function.

To find the x-intercept:

Set (y=0) to find the corresponding of (x)

0=x32(x)4

We are unable to factor the cubic function above.

Create a data table with values as shown:

enter image source here

The table on the right hand side, displays (y=4) when (x=0)

(0,4) is the y-intercept of the graph of the given cubic function.

In the table, we can also observe that (y=0) when (x=2)

(2,0) is one of the x-intercepts of the graph of the given cubic function.

Using an appropriate graphic software or a calculator, we can obtain the graph as shown below:

enter image source here

Hope it helps.