I have this question as part of my Pre-Calc summer work. I never learned about f(x) equations without the variable x in them... it just doesn't make sense to me based on what I know. Please help! I need to turn this thing in today if possible..
Let's just think of f(x) as another way to refer to y
f(x) = y
f(-2) = 1, is telling you that when x = -2, y = 1
f(-1) = 3, is telling you that when x = -1, y = 3
So they're giving you 2 points and asking you to find the equation of the line.
(-2, 1) (-1, 3)
To go from here, you can find the slope (change in y over change in x) and then write out the equation using point-slope form. Lastly, rearrange into slope intercept form and you're all set.
Check out this site of an example and step by step directions: