Just to be clear on what this function is:
f(x) = 2(1/4)x - 3
This means that as x increases, (1/4) is taken to a higher power, eg 1/4, 1/16, 1/64, etc.
This gradually approaches 0 as x increases, and as x approaches infinite,
f(x) → 2(1 / 4∞) - 3
f(x) → 2(1 / ∞) - 3
f(x) → 2(0) - 3
f(x) → 0 - 3
f(x) → -3
We can write this as x → ∞, y → -3
We will also look at what happens to the function when x → -∞
f(x) → 2(1 / 4-∞) - 3
f(x) → 2(4∞) - 3
f(x) → 2(∞) - 3
f(x) → ∞ - 3
f(x) → ∞
We can write this as x → -∞, y → ∞
* I apologize for the formatting, as it's not the most standard formatting.