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Which of the following exponential functions has a horizontal asymptote at y = –2 ? f (x) = 2(–x + 2) f (x) = 2(–x – 2) f (x) = –2x + 2 f (x) = –2x – 2

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An exponential function with a horizontal asymptote at y = -2 will be of the form:

f(x) = 2^(-x) - 2

Which of the following exponential functions has a horizontal asymptote at y = -2?

An exponential equation will have a horizontal asymptote when the exponent, x, has a negative sign. This will cause that as x tends to infinity, the exponential part of the function will tend asymptotically to zero.

Now, if we want to have an horizontal asymptote at y = -2, then we also need to have a constant term equal to -2 which takes weight as x tends to infinity, and the other part of the function becomes almost zero.

So the function will be something like:

f(x) = 2^(-x) - 2

Learn more about exponential functions:

https://brainly.com/question/11464095

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