Question

Need help with rational function question for precalculus

Answer 1

Answer:

Answers: 1), 2), 3).

Step-by-step explanation:

Note that when we say $x \to a^-$, we mean "as x tends to a from the left hand side". That is, what is the function doing when "x approaches a from the left side". In much the same way, we say $x \to a^+$ to imply what the function is doing when "x approaches from the right side".

So, when $x \to 3^-$, we are looking at the point around x = 3, but from the left side. From the graph, we see that, from the left side of 3, the graph is approaching a fairly big number. So, we see that: "As $x \to 3^-$, $f(x) \to \infty$".

In much the same way:

"As $x \to 3^+$, $f(x) \to -\infty$".

"As $x \to \infty$, $f(x) \to 2$".