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How to find the equation of an asymptote for 2ˣ?

a) y= 2x
b) y= −2x
c) y= 2ˣ
d) y= −2ˣ

1 Answer

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Final answer:

The equation of the asymptote for the function 2^x is y = 0, which means that none of the provided options are correct.

Step-by-step explanation:

To find the equation of an asymptote for the function 2x, we need to understand the behavior of the function as x approaches infinity or negative infinity. The function 2x is an exponential function, and it has a horizontal asymptote. Specifically, for 2x, as x approaches negative infinity, the function approaches zero. Therefore, the equation of the horizontal asymptote is y = 0, which means that none of the options provided, a) y = 2x, b) y = −2x, c) y = 2x, or d) y = −2x, is correct.

User Nikita Kniazev
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