Texas A&M University (TAMU) MATH140 Mathematics for Business and Social Sciences Final Practice Exam

The zeros of a function are the values of the independent variable (often x) for which the function evaluates to zero. In graphical terms, these are the points where the graph of the function intersects the x-axis. Consequently, the term "x-intercepts" is synonymous with the concept of zeros because at these intercepts, the output (the value of the function) is zero.

For instance, if you have a quadratic function and you determine its zeros, you are finding the x-values where the function's curve crosses the x-axis, indicating those points are solutions to the equation formed by setting the function equal to zero. This is a fundamental concept in understanding the behavior of functions and is particularly relevant in fields such as business and social sciences, where identifying critical points can inform decision-making based on models represented by these functions.