SOLUTION: graph the function g(x)=(x-1)to the 3rd pwr

Question 316367: graph the function g(x)=(x-1)to the 3rd pwr
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

In order to graph , we need to plot a few points.

To get points in the form of (x,y), we need to find corresponding 'y' values to given 'x' values.

Let's find the y value when note: you can start at any x value.

Start with the given equation.

Plug in .

Subtract.

Cube to get .

So if , then which gives us the point (-1,-8).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Subtract.

Cube to get .

So if , then which gives us the point (-0.5,-3.375).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Subtract.

Cube to get .

So if , then which gives us the point (0.5,-0.125).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Subtract.

Cube to get .

So if , then which gives us the point (1,0).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Subtract.

Cube to get .

So if , then which gives us the point (2,1).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Subtract.

Cube to get .

So if , then which gives us the point (3,8).

----------------------------

Now let's make a table of the values we just found.

Table of Values:



x y
-1 -8
-0.5 -3.375
0.5 -0.125
1 0
2 1
3 8

Now let's plot the points:

Graph:

Now draw a curve through all of the points to graph :

Graph of
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