Question

Which table represents points on the graph of h(x) = -x + 2?
X
-8
4
-1
3
0
2
1.
1
8.
0
у
1
O
Х
у
-2
10
-1
3
0
2.
2.
---6
10
X
у
-6
2
1
1
2
0
3
41
22
X
-4
--8
999
--3
-1
-2
0
wo
-1
1
0
8
y

Answer 1

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.

Answer 2

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:

$h(x) = \sqrt[3]{-x + 2}$

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:

$h(2) = \sqrt[3]{-2 + 2} = 0\\\\h(0) = \sqrt[3]{-0 + 2} = \sqrt[3]{2}$

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