In this activity, you will analyze the graphs and equations of polynomial, radical, logarithmic, and piecewise functions, both in and out of context.

Introduction

In this unit, you explored the key features of polynomial, radical, logarithmic, and piecewise functions and learned how to identify and interpret these features from the function’s graph and from a table of values. You can now determine what type of function best models a given situation and write the function equation from a description of the situation.

In this activity, you’ll apply your knowledge of functions to work backward. You’ll assign a possible context to a function given in graph, equation, or table form; interpret the function’s key features in the context of the situation; and determine an equation that fits a polynomial graph. Also, you’ll go deeper into the structure of logarithmic functions and how they’re useful to us.

Introduction

In this unit, you explored the key features of polynomial, radical, logarithmic, and piecewise functions and learned how to identify and interpret these features from the function’s graph and from a table of values. You can now determine what type of function best models a given situation and write the function equation from a description of the situation.

In this activity, you’ll apply your knowledge of functions to work backward. You’ll assign a possible context to a function given in graph, equation, or table form; interpret the function’s key features in the context of the situation; and determine an equation that fits a polynomial graph. Also, you’ll go deeper into the structure of logarithmic functions and how they’re useful to us.