plotting as a function of x

I have no problem ploting as a function of y but when i try replicating it and plotting it as a function of x i get an error or the image comes out wrong.

In this case i want to plot x = y.^1/3 (y=x^3) as a function of x bounded by x=1 , y = 1 and y=0

i used this code when doing it as a function of y

f = @(x) x.^3; 
g = @(x) x-x;
fplot(f, [-3, 3]), hold on
fplot(g, [-3, 3], 'LineWidth',2)
x1 = 0;
x3 = 1;
xcoord = linspace(x1, x3, 100);
ycoord = [f(xcoord); g(xcoord)];
plot([xcoord;xcoord], ycoord), 
plot(xline(1))
hold off

But i can't seem to replicate it using a function of x.

Thanks

Answer 1

[Walter Roberson]

x = y.^1/3

MATLAB would parse that as being x = (y.^1)/3 which is x = y/3 which is not what you want.

If you were to use x = y.^(1/3) then that would be closer. However, you would encounter the problem that P.^Q is defined as being equivalent to exp(Q*log(P)) -- and log() of a negative number is complex, so if the power Q is not an even integer, the result is going to be complex.

To solve the problem you are going to need to use nthroot such as x = nthroot(y, 3)