Key Features Expon. f(x)'s
Decay/Growth
Transformations
Percent Rate
Word Problems
100
If, f(x)=a(b)x, which variable represents the initial amount and which represents growth factor?
a=initial amount
b=growth factor
100
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after x years? Answer this: What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
100
What does h and k mean?
h is Horizontal shift
k is vertiKal shift
100
What is the percent growth/decay rate?
y=5(0.5)^x
50%
100
2243
200
What is the initial amount and growth factor for the function f(x)=2(3)x
initial amount=2
growth factor= 3
200
In exponential functions, what is the rule for b that will cause an exponential growth or decay?
growth b>1
decay 0<b<1
200
how does f(x-4)+12 move?
right 4
up 12
200
What is the percent growth/decay rate?
y=5(1.3)^x
30%
200
y = 12,000(1.06)x, where x represents years
What will be the cost in 17 years?
$32,313.27
300
What is the y-intercept and is this growth or decay?
y-intercept = (0, 1)
growth
300
f(x)=a(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
300
write the new function of a parent function y=2x transformed left 6 and down 4.
y=2x+6-4
300
What is the percent growth/decay rate?
y=(0.01)^x
99%
300
y = 18,000(0.98)x, where x represents years
16,941 people
400
Write the equation to the following table
y= 5(2)x
400
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay r= .07
400
Find the rate of change given the coordinates; (0, -2) (3,4)
2
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay. 30%
400
Is the function exponential growth or decay? 
Decay
500
What is the rate of change from 0<x<5?
4
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years? (Write the equation and solution)
530,000(1.05)6 =$710,250.69
500
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years? Write the equation and solution
f(x)=26400(.88)3.5=$16,876.92
500
What is the percent growth/decay rate?
y=60(1.33)^x
33%
500
y = 28,000(1.0033)x, where x represents months
$34,187.90