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Pre-calc, Review the graph of f(x). Which statement describes the behavior of the function around the vertical asymptotes? (image attached)

Precalc Review The Graph Of Fx Which Statement Describes The Behavior Of The Function Around The Vertical Asymptotes Image Attached class=

Sagot :

Answer:

Option B

Step-by-step explanation:

Given the piecewise function, we see that there are two vertical asymptotes at lines x=-3 and x=3. Around the vertical asymptote x=-3, the limit of the function f(x) as x approaches -3 from the left side is ∞, and the limit of the function as x approaches -3 from the right side is -∞. The behavior of the function around the vertical asymptote x=3 is exactly the same. Therefore, option B is correct.

The statement which describes the behaviour of the function round the vertical asymptotes is b which is around x=-3+ limit of f(x)-=infinity and for limit f(x)+ is -x. Around x=3 the function behaves within the same manner as around x=-3.

What is a limit of a function?

Limit of a function describes the behaviour of a function as when the function behaves at a specific point.

How to check behaviour of the function?

We can see that there are two vertical asymptotes at lines x=-3 and x=3. round the vertical asymptote x=-3 the limit of the function as x approaches -3 from the left side is infinity and also the limit of the function as x approaches -3 from the proper side is -infinity.

Learn more about limit at https://brainly.com/question/23935467

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