SOLUTION: ? write a function rule for the table: x f(x) -1 3 0 0 1 -3 2 -6 please explain

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Question 29741: ? write a function rule for the table:
x f(x)
-1 3
0 0
1 -3
2 -6
please explain

Answer by Cintchr(481)   (Show Source): You can put this solution on YOUR website!
(x,y)
A(-1,3)
B(0,0)
C(1,-3)
D(2,-6)
Find the slope (rise/run) of the points.

A to B =
B to C =
C to D =
all have the same slope so they lie on the same line.
use the point-slope formula:
m = slope b = y-intercept x and y are the ordered pair.
using the slope (-3) and point B (0,0) ... substitute and find b.




now ... using the slope and the y-intercept ... substitute once more.

or
remeber ... f(x) is just a fancy way of saying y





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