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The asymptote is the x-axis.
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Mind Expander
The function
approaches the
-axis (also known as the horizontal asymptote) as
approaches negative infinity. In simpler terms, no matter how far left you go on the graph, the function gets closer and closer to the x-axis but never actually touches it. This means that as
decreases,
gets closer to 0 but never equals it.
So, the answer is b. the
-axis! The other options do not represent asymptotes for the exponential function. The
-axis is a vertical line, and
is not an asymptote for this function either.