The table represents some points on the graph of linear function f.
*
-3
2
5
11
f(x)
-130
0
78
234
Which function represents f?
• f(x) = 26(x- 2)
• f(x) = - 26(2x- 1)
f(x) =13(x-2)
f(x) = -2(26x-1)
The function that represents f is f(x) = 13(x-2).
To check, let's plug in the given points:
f(-3) = 13(-3-2) = 13(-5) = -65
f(2) = 13(2-2) = 13(0) = 0
f(5) = 13(5-2) = 13(3) = 39
f(11) = 13(11-2) = 13(9) = 117
The values align with the given table, confirming that the function f(x) = 13(x-2) is the correct one.