Question

Which points are on the graph of f(x) = RootIndex 3 StartRoot x EndRoot? Check all that apply.

(–27, –3)
(–1, 1)
(0, 0)
(1, 1)
(3, 27)

Answer 1

Check whether y^3 = x (since y = ∛x).

(-27, −3): (−3)^3 = −27 → yes.
(−1, 1): 1^3 = 1 ≠ −1 → no.
(0, 0): 0^3 = 0 → yes.
(1, 1): 1^3 = 1 → yes.
(3, 27): 27^3 ≠ 3 (and ∛3 ≈ 1.442) → no.

Points on the graph: (−27, −3), (0, 0), (1, 1).