Question

What is the range of
f
(
x
)
=
3
√
x
−
4
?(1 point)
Responses

{
y
|
y
∈
R
|
}
left brace y vertical bar y is an element of the real numbers right vertical bar brace

{
x
|
−
∞
<
x
<
∞
}
left brace x vertical bar negative infinity less than x less than infinity right brace

{
x
|
−
∞
≤
x
≤
∞
}
left brace x vertical bar negative infinity less-than-or-equal-to x less-than-or-equal-to infinity right brace

{
y
|
0
<
y
<
∞
|
}

Answer 1

Range: {y | y ∈ R}.

Reason: y = ∛x − 4 is a vertical shift of y = ∛x. The cube-root function maps all real x onto all real y, and shifting by −4 still yields all real values.