Question

Using the graph of the function
f
(
x
)
=
3
√
x
, what happens as x approaches negative infinity?

(1 point)
Responses

y approaches
−
3
y approaches negative 3

y approaches negative infinity
y approaches negative infinity

y approaches infinity
y approaches infinity

y approaches
0

Answer 1

y approaches negative infinity

Reason: f(x) = ∛x is an odd root function that is unbounded below, so as x → −∞, ∛x → −∞ (it decreases without bound, though more slowly than x).