Subject: Points of intersection
Name: gianella
Who are you: Student (Secondary)

Find the points of intersection by solving this problem analytically.

y= x cubed
y= x

Thank you.

Hi Gianella.

If y = x, then that means where we see y, we can substitute x, because they are equal, so we can re-write the equation y = x³ as x = x³.

What value(s) of x satisfy x = x³? Zero is one value that does, and if x isn't zero, you can divide both sides of this by x to find the other values of x that work. Remember that y = x, so your points of intersection are in the form of (x, x) for all values of x.

Hope this helps,
Stephen La Rocque.