Question

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

(–2, 2)
(–1, –1)
(0, 0)
(1, –1)
(6, –2)
(8, –2)

Answer 1

f(x) = -∛x, so y must equal the negative cube root of x.

Check each:
- (–2, 2): -∛(–2) = -(-∛2) = +∛2 ≈ 1.26 ≠ 2 — no
- (–1, –1): -∛(–1) = -(-1) = 1 ≠ -1 — no
- (0, 0): -∛0 = 0 — yes
- (1, –1): -∛1 = -1 — yes
- (6, –2): -∛6 ≈ -1.817 ≠ -2 — no
- (8, –2): -∛8 = -2 — yes

Correct pairs: (0, 0), (1, −1), (8, −2).