What are the xx-intercepts of y=x(x−1)y=x(x−1)?

Answer 1

The given curve is

y = x(x-1).

Whenever a curve intercepts the x-axis, its y-value = 0.

Therefore the intercepts of the given curve on the x-axis are determined from

y = x(x-1) = 0

For x(x-1) = 0, the possible solutions are

(a) x = 0,

(b) x-1 = 0 => x = 1.

Answer: The x-intercepts are x=0 and x=1.