Consider the rational function f(x)=9x+182x−14.
What monomial expression best estimates the behavior of 9x+18 as x→±∞?
What monomial expression best estimates the behavior of 2x−14 as x→±∞?
Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 9x+182x−14 as x→±∞. Simplify your answer as much as possible.
Based on your answer to part (c), what happens to the value of f(x) as x→±∞? (Hint: Now your answer should be a number, ∞, −∞, or "DNE".)
As x→±∞, f(x)→
Based on your answer to part (d), what is the horizontal asymptote of f? (If no horizontal asymptote exists for f, enter "DNE".)
y=