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Sagot :
Answer:
C
Step-by-step explanation:
You can choose the correct table by considering the x- intercept.
For y=0, the value of x is ...
0 = ∛(-x +2)
0 = -x +2 . . . . cube both sides
x = 2 . . . . . . . . add x
Point (2, 0) is a point on the graph. This only shows in the third choice.
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
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