# Given #h(x)=e^-x#, how do you describe the transformation?

It is a reflection across the y-axis of

Therefore we can say that:

What does this mean as far as transformation on a graph? Well...

In fact, plugging in any value into f(x) and then plugging in the negative of that value to h(x) will give the same answer.

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The function ( h(x) = e^{-x} ) represents an exponential function with a base of ( e ) raised to the power of ( -x ). The transformation of this function compared to the parent function ( e^x ) involves a reflection across the x-axis. This reflection flips the graph of the function vertically, causing it to decrease rapidly as ( x ) increases. There are no horizontal or vertical shifts or stretches/compressions involved in this transformation.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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