It had taken a while for me to understand the problem. From what I understood, the given pairs of points are tabulated below:
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.