Question

Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?

On a coordinate plane, a cube root function goes thorugh (negative 8, 2), has an inflection point at (0, 4), and goes through (8, 6).

On a coordinate plane, a cube root function goes through (negative 8, negative 6), has an inflection point at (0, negative 4), and goes through (8, negative 2).

On a coordinate plane, a cube root function goes through (negative 3, negative 2), has an inflection point at (4, 0), and goes through (5, 1).

Answer 1

The second graph.

Reason: f(x)=∛x−4 is the cube root shifted down 4, so its inflection point is at (0,−4). Also ∛(−8)−4=−2−4=−6 and ∛8−4=2−4=−2, so it goes through (−8,−6) and (8,−2).