By evaluating the function, we will see that the correct option is the third table.
Which table represents the function?
Here we have the function:
[tex]h(x) = \sqrt[3]{-x + 2}[/tex]
To identify which table is the correct one, we can evaluate the function in some values of x, so we can get some coordinate pairs.
For example, we can get:
[tex]h(2) = \sqrt[3]{-2 + 2} = 0\\\\h(0) = \sqrt[3]{-0 + 2} = \sqrt[3]{2}[/tex]
Then we have the pairs (2, 0) and (0, ∛2).
If you look at the first, second, and last tables, you can see that neither of these has the point (0, ∛2), so we can discard these 3.
Then the correct option is the third table, which we know contains (2, 0).
If you want to learn more about evaluating, you can read:
https://brainly.com/question/4344214
