The table represents some points on the graph of linear function `f.`

Question


x:-3,2,5,11
f(x):-130,0,78,234

Which function represents `f?`

Answer 1

To find the function that represents `f`, we need to first find the slope (m) and the y-intercept (b) using the points (-3, -130) and (11, 234).

m = (234 - (-130)) / (11 - (-3))
m = (234 + 130) / 14
m = 364 / 14
m = 26

Now we can use the y-intercept (-3, -130) to find the value of b:

-130 = 26(-3) + b
-130 = -78 + b
b = -130 + 78
b = -52

Therefore, the function that represents `f` is:

f(x) = 26x - 52