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In Exercises 83-90, starting with the graph of $y=e^x$, use transformations to sketch the graph of each function and state its horizontal asymptote. $f(x)=e^{-x}$

   In Exercises 83-90, starting with the graph of $y=e^x$, use transformations to sketch the graph of each function and state its horizontal asymptote.
$f(x)=e^{-x}$
Precalculus: A Right Triangle Approach
Precalculus: A Right Triangle Approach
Ratti, McWaters,… 5th Edition
Chapter 4, Problem 83 ↓
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In Exercises 83-90, starting with the graph of $y=e^x$, use transformations to sketch the graph of each function and state its horizontal asymptote. $f(x)=e^{-x}$
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00:01 So we want to graph a transformation of y equals e to the x, and we want to graph f of x is equal to e to the negative x.
00:10 And we know the parent function.
00:12 If we just think about plugging in zero in here, we end up being at one.
00:16 If we plug one in here, we're about 2 .7.
00:22 And then if we plug in negative 1, we're about roughly 1 third, and our graph looks something like that...
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