The branch of mathematics that is about the rates of change is called calculus. The rate of the line tells us how fast the line rises or falls. If the rate is negative, the line falls. If the rate is positive, the line rises. For linear functions, the slope is the same at every point of the line.
The rate of other functions can change at different points. To find the rate of a function at some point, we find the slope of the tangent line to the graph of the function at this point.
In calculus, we will learn more about the rates of change, derivatives, and their applications in real life. Finally, let's fill in the blank!
Calculus is the study of the rates of change of functions.
