Question

Write a function rule for the following table.

x 2 4 6

y 1 0 -1

Answer 1

y = mx + b
f(x) = 2m + b = 1
f(x) = 4m + b = 0
f(x) = 6m + b = -1

-1(2m + b = 1)
4m + b = 0

-2m -b = -1
4m + b = 0

2m = -1
m = -1/2
2(-1/2) + b = 1
-1 + b = 1
-1+ 1 + b = 1 + 1
b = 2
y = mx +b
y = -1/2x + 2

Answer 2

slope for the first 2 points
= (0-1)/(4-2) = -1/2

y = -1/2 x + b , but (2,1) lies on it
1 = -(1/2)(2) + b
b = 2

y = -(1/2)x + 2

check if third point is on it
LS = -1
RS = (-1/2)(6) + 2 = -1
yes, all is good

y = (-1/2)x + 2

Answer 3

Write functions of the following table.