9514 1404 393
Answer:
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
Explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
_____
Additional comment
We call the square root curve a "relation" because it is not a function. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.