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Choose the model that represents the function

Choose the model that represents the function-example-1
User Thetoast
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2 Answers

4 votes

Answer:

The bottom right answer/the 4th option is the right answer

Explanation:

I did it.

User Adamovskiy
by
8.7k points
5 votes

Answer:

OPTION D

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
$ f(4) = 18 $


$ f(-2) = -12 $


$ f(0) = -2 $


$ f(-3) = -17 $

Here,
$ x $ is the domain and
$ f(x) $ is the co-doamin.

Therefore,
$ x = \{4, -2, 0, -3\} $

Now, OPTION A:
$ f(x) =  2x - 5 $

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

So, OPTION A is rejected.

Similarly, OPTION B:
$ f(x) = 5x + 2 $

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

It is rejected as well.

Now, for OPTION C:
$ f(x) = (x)/(2) - 5 $

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

So, OPTION C is also rejected.

OPTION D:
$ f(x) =  5x - 2 $

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.

User Kukosk
by
8.6k points

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