Question

points for y=x to the power of 1/3

Answer 1

y = ∛x

Let's cube both sides.

This gives us,
y³ = x

now, let's find points to plot.

Assume y = 0
Then we know, 0³ = 0
Hence, for y = 0, x will be 0
So (0,0) is one point.

Now, assume y = 1
Then 1³ = 1 (So x = 1)
So, (1,1) is a valid solution

Assume y = 2
Then 2³  = 8 (So x = 8)
Then (2, 8) is a valid solution.

Similarly, we know that if we cube a negative number, we will get a negative cube. [just like -(2)³ = -8]

So the negative of all of the above points are also valid.

Whoaa! That gives us a lot of points:

(0, 0)
(2, 8)
[ (-2), (-8) ]
(1, 1)
[ (-1), (-1) ]

I hope that helps :)