What is the root or zero of a function?

The root or zero of a function is defined as the value for which the function's output is zero. This means that if you substitute this value into the function, the result will be exactly zero. Finding the roots of a function is critical in various applications, such as solving equations, analyzing graphs, and understanding the behavior of the function under study.

In graphical terms, the roots are the points at which the graph of the function intersects the x-axis, indicating the values of the independent variable (often represented as "x") that result in a function value of zero. This concept forms the foundation for many topics in algebra and calculus, making it essential for a student to understand.