Question

x to f(x)

-3 to -130
2 to 0
5 to 78
11 to 234

what function represents f

Answer 1

Find the slope using two points, e.g. (2,0) and (-3,-130):
slope = (0 - (-130)) / (2 - (-3)) = 130 / 5 = 26.

Use point (2,0) to get intercept b:
0 = 26·2 + b → b = -52.

So f(x) = 26x - 52, which checks with the other points.