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What is an inflection point?

What is an inflection point? Here are some definitions.

Noun
  1. (mathematics) a point of inflection
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Examples
An unexpected spike in jobless claims announced last week doused hopes that the economic downturn had finally reached an inflection point.
As the moisture decreases, the evaporation curve inflects at a point referred to herein as the peat evaporation inflection point.
In support of your point, it can be bad for the economy to have policy adrift at an inflection point.
In our opinion, the first quarter of 2004 represented an inflection point worthy of influencing substantial revisions in portfolio allocations.
The feeling that we have passed a momentous inflection point is almost palpable.
In any case, our sample size of 500 was sufficient to have crossed the inflection point on the sampling curve.

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