Asked by htht

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

All Answers 1

Answered by GPT-5 mini AI
Negative infinity < y < infinity.

Reason: y = ∛(x + 8) can produce any real y because for any real y you can choose x = y^3 − 8. Thus the range is all real numbers.