6 2 EXPONENTIAL FUNCTIONS HOMEWORK 5 6 15

6 -2 EXPONENTIAL FUNCTIONS HOMEWORK: 5, 6, 15 -18 GRAPH ALL

IN THIS CHAPTER I CAN… • 6 -1: use properties of exponents to solve equations with rational exponents • 6 -2: describe and graph exponential functions • 6 -3: use exponential functions to model situations and make predictions • 6 -4: identify and describe geometric sequences • 6 -5: perform, analyze, and use transformations of exponential functions

BY THE TIME I WALK OUT OF CLASS TODAY • I can graph an exponential function • I can describe the difference between a linear and exponential function.

WARM UP One piece of paper we are going to fold like an accordion. The other piece we are going to keep folding in half. Fill in the table after each fold. # of Folds Accordion Half 0 1 2 3 4 5 1 2 4 8 16

WARM UP Every time we make a fold, the number of sections increased. The way the sections increased was different for each piece of paper. Explain how they are different. When we folded the paper like an accordion, the number of sections… increased by one. When we folded the paper in halves, the number of sections… doubled.

VOCABULARY •

EXPONENTIAL FUNCTION • x 0 1 2 3 4 y 1 2 4 8 16

6 -2 EXPONENTIAL FUNCTIONS HOMEWORK: 7, 8, 19 -23

WARM-UP • x yy -3 8 -2 4 -1 2 0 1 1 0. 5 2 0. 2

EXAMPLE • x -2 -1 0 1 2 yy 8 4 2 1 0. 5

VOCABULARY • Asymptote: An imaginary line that an exponential function comes close to touching, but never actually does

EXAMPLE •

EXAMPLE • x -2 -1 0 1 2 yy 0. 75 1. 5 3 6 12