This lesson involves determining the similarities and differences among functions.

• Students will recognize the similarities and differences among power and polynomial functions of various degrees.
• Students will describe the effects of changes in the leading coefficient on the end behavior of graphs of power and polynomial functions.

In this activity, you will examine several power and polynomial functions to determine their similarities and differences and the characteristics of their end behavior. You will then make connections between these power functions and polynomial functions and write their end behaviors using limit notation.

*Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.