Question

which table represents points on the graph of h (x) = 3 root -x+2

Answer 1

Given the function :

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

To find which table represents the given function, let x with the numbers given in the table and find the corresponding value of h(x)

So, when x = 0

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

Now look to the tables which table has y = 3root of 2

We can deduce that the first two tables are wrong

Now, substitute with x = 2

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

So, this result will be agreed with the third table

so, the answer is: Table 3