Simple inflection

Compound inflection

Level pitch(absence of inflection)

Her tone of voice had a noticeable inflection, indicating that she was unsure about the answer.

The inflection in "slept" is past tense simple inflection of the verb "sleep."

Her voice rose with an inflection of excitement as she shared the news.

An inflection point is not a saddle point, but a saddle point is an inflection point.

To be precise, a saddle point is both a stationary point and an inflection point. An inflection point is a point at which the curvature changes sign, so it is not necessary to be a stationary point.