Question

select the correct choice that completes the sentence. the points at which a graph changes direction (from increasing to decreasing or decreasing to increasing) are called maximum points.

Explanation:

In calculus, critical points are where a function's derivative is zero or undefined. Local maximum and minimum points (extrema) are types of critical points where the graph changes direction (from increasing to decreasing for a local maximum and vice - versa for a local minimum). While maximum points (if we consider global maxima) are a specific case, the general term for points where the graph changes direction (including both local maxima and minima) is critical points. But if we assume the context is about local extrema (as the description is about a graph changing direction in a local neighborhood), the term should be local maximum or local minimum points. However, if we consider the more general term in the context of calculus related to graph direction change (where we first study local extrema in the basic analysis of functions), and if we assume the question is a bit mis - phrased (maybe aiming for local extrema). But if we go by the strict definition of points where the graph changes direction (from increasing to decreasing or vice - versa), these are local maximum (when going from increasing to decreasing) and local minimum (when going from decreasing to increasing) points.

Answer:

local maximum or local minimum points