This math topic focuses on calculating the average rate of change for various functions over a specified interval. It explores how to express this rate of change when a point on the function and a width \( h \) are given, utilizing different algebraic functions including quadratic and linear equations as well as square root transformations. The skills practiced involve formulating the slope of a secant line — analogous to a derivative at a particular point — to understand how the function's output values change with respect to changes in the input. Each problem presents a function's formula, one specific input-output pair, and the function's form evaluated at an increment \( h \) from the specific point.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.