The table represents some points on the graph of linear function `f.`
x:-3,2,5,11
f(x):-130,0,78,234
Which function represents `f?`
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