On a two-dimensional coordinate plane, the line z = x^2 - x^3 touches the x-axis in how many places? Select the correct option
A) 0	B) 1	C) 2	D) 3	E) 4

Rationale: apparently it ' s z = x ^ 2 - x ^ 3 instead of z = x ^ 2 - z ^ 3 . in this case : the x - intercept is the value ( s ) of x for z = 0 . 0 = x ^ 2 - x ^ 3 ; 0 = x ^ 2 ( 1 - x ) ; x = 0 or x = 1 . answer : c .
Answer: C