Respuesta :

The rule for the function is a f(x) = x^2 + 2 ....

According to the statement

we have  to find the mathematical rule which is applied on the given function.

So, For this purpose, we know that the

The given function is :

D = {[x, f(x)]: (-1, 3), (0, 2), (1, 3), (2, 6), (3, 11)}

And the rule for this function f is become

when we put  x = 0 , then f(x) = 2

We can say that the

when   x = 0 , f(x) = 2

And applying on the given points then the rule becomes

f(x) = x^2 + 2 ....

Then this is the rule for the given function.

So, The rule for the function is a f(x) = x^2 + 2 ....

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