Question

Choose the model that represents the function

Answer 1

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

Explanation:

I did it.

Answer 2

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.