For the graph WarmUp name the following characteristics

For the graph, Warm-Up: name the following characteristics. 1. Domain: _______ 2. Range: ____ 3. Y-int/x-int: _____ 4. Inc or Dec? 5. Asymptote? ______ 6. Find the slope between (-2, -1) and (0, 2)

Average Rate of Change

Average Rate of Change

Average Rate of Change • Exponential functions have a variable rate of change, meaning values increase or decrease at a different rate over a period of time.

Ex #1 - Average Rate of Change Find the average Rate of change for interval [-1, 0].

Ex #2 -Average Rate of Change Find the average Rate of change for interval [-2, 1].

Ex. #3 - Find the Average Rate of Change For: f(x) = 3 x – 2, when

Ex #4 Find the Average Rate of Change f(x) = 3(2)x – 2 from [0, 3].

Find the Average Rate of Change from a Table 5. Find the rate of change from day 1 to 3. (x) f(x) ROC=4 1 1 2 3 6. Find the rate of change when: 3 9 4 27 5 81 6 243

Class Work Handout

Find AROC [-1, 2] -1<x<2

5 x 1= 25 x 1 = 100 x 1 = 1, 500 x 1 = 100, 000 x 1 = 500, 000 x 1 = 1, 000 x 1 = 3, 456, 234, 768 x 1 =

Calculate year by year. r is given as a percentage Convert to a decimal Grow by 11% y=a(1. 11) Decay by 11% y=a(. 89) y=a 0(1±r) = a 1 y=a 1(1±r) = a 2 y=a 2(1±r) = a 3 y=a 3(1±r) = a 4 Calculations are a is the starting RECURSIVE, value must know the last # to get the next.

x When to use y=a(1±r) r is given as a percentage Convert to a decimal a is the starting value Grow by 11% Decay by 11% y=a(1. 11)x y=a(. 89)x

Percent Increase x y=a(1±r) Number Increase x y=ab

x When to use y=a(1±r) r is given as a percentage Convert to a decimal a is the starting value Grow by 11% Decay by 11% y=a(1. 11)x y=a(. 89)x

When to use y=abx b is given as a number The number doubles: y=a(2)x Decay by 1/3 y=a(1/3)x