To evaluate the statements regarding horizontal asymptotes:
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Exponential functions don't always have a horizontal asymptote. - This statement is true. For example, the exponential function \( f(x) = e^x \) does not have a horizontal asymptote as \( x \) approaches infinity; it increases without bound. However, the function \( g(x) = e^{-x} \) has a horizontal asymptote at \( y = 0 \) as \( x \) approaches infinity.
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A horizontal asymptote cannot be crossed. - This statement is false. A horizontal asymptote describes the behavior of a function as \( x \) approaches infinity (or negative infinity). A function can cross its horizontal asymptote at some finite points.
Considering these evaluations:
- The first statement is true.
- The second statement is false.
Thus, the correct answer is "Exponential functions don't always have a horizontal asymptote." So the option "Two of these are correct." and "None of these are correct." are not accurate.
Therefore, the answer is "Exponential functions don't always have a horizontal asymptote."