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Need help with rational function question for precalculus

Need help with rational function question for precalculus-example-1

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Answer:

Answers: 1), 2), 3).

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".

User Johngreen
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