3x-6y=6 type the equation using function notation. f(x)=_________

Question

I already graphed the equation on (2,0) and ( 0,-1) now I have to write an equation using function notation!

Answer 1

f(x) means you are looking for a function in terms of the variable "x".

3x - 6y = 6 can be re-written as a function rule in terms of only "x" by solving it for "y":

Add "6y" to both sides to get: 3x = 6 + 6y

Subtract "6" from both sides to get: 3x - 6 = 6y

Divide both sides by 6 to get: 1/2x - 1 = y or:

y = 1/2x - 1 so the function "rule" (aka f(x)) in terms of "x" is "1/2x - 1" meaning that y = f(x) so we can just say:

f(x) = 1/2x - 1