Question

Which function could represent the data in the table below

X: -2, -1,0,1

Y :-7,-2,3,8

Answer 1

`x :f(x) = x - 3`

`\:`

`y :f(x) = 5x - 12`

Explanation:

for x: -2, -1, 0, 1 :

`f(x) = x - 3`

`\:`

`f(1) = 1 - 3 = - 2`

`f(2) = 2 - 3 = - 1`

`f(3 ) = 3 - 3 = 0`

`f(4) = 4 - 3 = 1`

`\:`

for y: -7,-2,3,8:

`f(x) = 5x - 12`

`\:`

`f(1) = 5(1) - 12 = - 7`

`f(2) = 5(2) - 12 = - 2`

`f(3) = 5(3) - 12 = 3`

`f(4) = 5(4) - 12 = 8`