Question

Which graph represents y = RootIndex 3 StartRoot x EndRoot?
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).

Answer 1

The third graph.

y = ∛x is an odd (S-shaped) curve through the origin with a vertical tangent at (0,0) (y' = 1/(3x^{2/3}) → ∞ as x → 0).
- Option 1 is a parabola (y = x^2).
- Option 2 describes a curve that decreases in quadrant I, not ∛x.
- Option 4 (horizontal tangent at the origin) describes y = x^3 (derivative 0 at 0).