What is the term used for the lowest point in a particular section of a graph?

The term used for the lowest point in a particular section of a graph is known as a minimum. In mathematical functions and graphs, the minimum point represents the lowest value that a function reaches in a specified interval or over its entire domain. This concept is crucial in determining the behavior of functions and understanding their graphical representation.

For instance, when you graph a quadratic function, the vertex can be either a maximum or a minimum point depending on the direction of the parabola. If the parabola opens upwards, the vertex is a minimum; if it opens downwards, the vertex is a maximum. The mode, by contrast, refers to the value that appears most frequently in a set of data rather than any graphical context. Thus, identifying a minimum on a graph helps in optimization problems, where finding the lowest cost or value is necessary.