On a two-dimensional coordinate plane, the line z = x^2 - x^3 touches the x-axis in how many places?
Pick.
A) 0
B) 1
C) 2
D) 3
E) 4
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: 2.
<result>C</result>
On a two-dimensional coordinate plane, the line z = x^2 - x^3 touches the x-axis in how many places?