What is a turning point on a graph?
Understand the Problem
The question is asking for the definition and explanation of a turning point on a graph, which typically refers to a point where the direction of the graph changes from increasing to decreasing or vice versa. This concept is essential in understanding the behavior of functions and can be related to calculus when discussing derivatives.
Answer
A point where the graph changes direction.
A turning point on a graph is a point where the graph changes direction, from increasing to decreasing or vice versa.
Answer for screen readers
A turning point on a graph is a point where the graph changes direction, from increasing to decreasing or vice versa.
More Information
At a turning point, the derivative of the function is zero, indicating a horizontal tangent line.
Sources
- Turning Points: Definition, Graph & Examples - Vaia - vaia.com
- 3.4: Graphs of Polynomial Functions - Mathematics LibreTexts - math.libretexts.org
- What is a turning point? : r/askmath - Reddit - reddit.com