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What are the vertical asymptotes of the function?

1) x = -1
2) x = 0
3) x = 1
4) x = 10

User Eezis
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2 Answers

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Please attach the equation in the question

User Suthan Bala
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Final answer:

Vertical asymptotes are found where a function's value approaches infinity or negative infinity, such as with f(x)=1/x at x=0. Without a specific function, we can't determine the asymptotes from the options provided, but x=0 is a common vertical asymptote for functions like 1/x.

Step-by-step explanation:

The question pertains to finding the vertical asymptotes of a function. Vertical asymptotes occur where the function approaches infinity or negative infinity as the input values (x) approach a specific value. Without the specific function provided, we cannot definitively determine the vertical asymptotes from the given options: x = -1, x = 0, x = 1, and x = 10. However, if we take an example such as the function f(x) = 1/x, we can see that as x approaches 0, the function's value grows without bounds, thus creating a vertical asymptote at x = 0.

In the case of the function f(x) = 1/x, the correct option would be 2) x = 0 because that is where the function is undefined and where the graph of the function approaches infinity as x approaches zero from the positive and negative sides. No other given option for x would serve as a vertical asymptote for this specific function.

User Narissa
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