Concavity

Concavity describes whether a graph bends upward like a cup or downward like a frown.

How the Idea Works

A graph that bends upward is called concave up. A graph that bends downward is called concave down.

Why It Helps

Concavity helps show whether a rate of change is speeding up or slowing down. Points where concavity changes are called inflection points.

Fun Facts

• A graph that bends upward is called concave up.
• A graph that bends downward is called concave down.
• Concavity helps show whether a rate of change is speeding up or slowing down.
• Points where concavity changes are called inflection points.

Did You Know?

Concavity may sound advanced, but it is built from smaller ideas like patterns, slopes, totals, and careful reasoning.