Choose the model that represents the function

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have

Here, is the domain and is the co-doamin.

Therefore,

Now, OPTION A:

Substitute x = 4. We get f(x) = 3 18.

So, OPTION A is rejected.

Similarly, OPTION B:

Substitute x = 4. We get f(4) = 22 18.

It is rejected as well.

Now, for OPTION C:

Substitute x = 4. We get f(4) = -3 18.

So, OPTION C is also rejected.

OPTION D:

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

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step-by-step explanation: