State the end behavior of the function f(x) = 9X
As x → Negative Infinity, f(x) → ?
As x → Infinity, f(x) →?

Set up two limits of the function

This answer makes sense because f(x) has a positive correlation with x. This means as x increases so does f(x). If we make x infinitely negative, f(x) will also get infinitely negative. Same logic for driving x to positive infinity.

Also, just look at the graph of f(x)=9x. We can see that is a continuous function that grows without bounds. So, it makes sense that if x goes to infinity so will the function and if x goes to -infinity the function will go to -infinity.