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What is the shape of an exponential decay graph?

Answer 1

Think of a regular exponential distribution graph. Now, rotate it about the Y axis.

The result should look something like a ramp at a skate park, just like the regular exponential distribution graph. Only instead of going up to the right-hand side, it's going down (and hence up to the left-hand side).

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Answer 2

Christopher Allers

The shape of an exponential decay graph is characterized by a steep curve that gradually decreases as it moves from left to right along the horizontal axis. It typically starts at a relatively high value and diminishes rapidly at first before eventually leveling off towards zero as it extends infinitely along the horizontal axis. The curve never intersects the x-axis, as exponential decay functions never reach zero, but instead approach it asymptotically.

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Answer from HIX Tutor

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.