Question

Choose the model that represents the function

Answer 1

Answer:

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 $f(4) = 18$

$f(-2) = -12$

$f(0) = -2$

$f(-3) = -17$

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 $\ne$ 18.

So, OPTION A is rejected.

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

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

It is rejected as well.

Now, for OPTION C: $f(x) = \frac{x}{2} - 5$

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