Key Features Expon. f(x)'s
Growth or Decay
Growth or Decay
Word Problems
100
If, y=a(bx ), What do a and b represent?
a=Starting point/y-intercept
b=growth factor
100
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
7% decay rate
100
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
100
2243
200
Which number is the y-intercept and which is the growth factor for the function f(x)=2(3)x
y-intercept=2
growth factor= 3
200
Find the equation for:
Passes through the points (0, 3.5) and (2, 31.5)
y=3.5(3)x
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
What will be the cost in 17 years?
$32,313.27
300
What is the equation for the graph below?
y = 2^x
300
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
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
16,941 people
400
What's the growth factor?
b=2
400
Complete all 3
20% change
.80
4/5
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is the function exponential growth or decay? 
Decay
500
What is the difference between linear functions and Exponential functions
Linear has a constant difference
Exponential has a constant multiplier
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?
f(x)=26400(.88)3.5=$16,876.92
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?
530,000(1.05)6 =$710,250.69
500
If you put $500.00 into an account and the account earns 3% interest, compounded quarterly. How much will be in the account after 5 years?
$580.59