The interval where the function is negative is (–∞, –6)
The function is given as:
[tex]f(x) = \sqrt[3]{x + 6}[/tex]
Set the radicand to less than 0
x + 6 < 0
Subtract 6 from both sides
x < -6
Rewrite as an interval notation.
(–∞, –6)
Hence, the interval where the function is negative is (–∞, –6)
Read more about function interval at:
https://brainly.com/question/1600302
#SPJ1