Question

Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
On a coordinate plane, a cube root function goes through (negative 4, negative 2), has an inflection point at (0, 0), and goes thorugh (4, 2).
On a coordinate plane, a cube root function goes through (negative 4, 2), has an inflection point at (0, 0), and goes through (4, negative 2).

Answer 1

The second one: the graph that goes through (-8, -2), has an inflection at (0,0), and goes through (8, 2).

Reason: the cube root is odd and increasing, so ∛8 = 2 and ∛(-8) = -2, with the point of inflection at the origin.