Question

What is the range of the function y = RootIndex 3 StartRoot x + 8 EndRoot?

Negative infinity less-than y less-than infinity
Negative 8 less-than y less-than infinity
0 less-than-or-equal-to y less-than infinity
2 less-than-or-equal-to y less-than infinity

Answer 1

- ∞ < y < ∞

On edge

Answer 2

- ∞ < y < ∞

Explanation:

The given function is,
`y = \sqrt[3]{x + 8}`.

Now, the origin function of this above function is,
`y = \sqrt[3]{x}` which has real y-values as output for all real x-values input.

Hence, the function
`y = \sqrt[3]{x + 8}` will ba valid for all real values of x and will have real y-value corresponding to each x-value.

Therefore, the range of this function i.e. the y-value of this function will be

- ∞ < y < ∞. (Answer)