The function y = rootindex 3 startroot x endroot – 3 is graphed only over the domain of {x | –8 < x < 8}. what is the range of the graph?

{y | –5 < y < 5}
{y | –5 < y < –1}
{y | 1 < y < 5}
{y | 1 < y < –1}

Explanation:

The graphed function is:

And it is graphed over the domain {x | –8 < x < 8}, which is all the real numbers greater than - 8 and less than 8.

The cube root is a continuous growing function over all the real numbers.

Thus, to find the range you can just substitute the border numbers, -8 and 8, into the function, to find the corresponding y-values.

For x = - 8:

For x = 8

Hence, the range is {y | –5 < y < -1} ← answer

i think the correct option is the second option.