Key Features of Exponential Functions
Growth or Decay 1
Growth or Decay 2
Compound Interest
Word Problems
100
What's the growth factor?
b=2
100
How do I know if an exponential function is exponential growth from an equation?
The value of b is greater than 1
100
Does the graph represent exponential growth or decay?
Exponential Growth
100
You were charged 8.8% compounded semi annually on your loan of $860 for a 9 year term. What total did you pay to borrow the money after 9 years?
$1,866.84
100
Is the function exponential growth or decay? 
Decay
200
If, y=a(bx ), What do a and b represent?
a=initial amount/y-intercept
b=multiplier/growth factor
200
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
200
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
200
Your mortgage of $30,000 at an interest rate of 6.3% which was compounded annually for 4 years. What total did you pay after 4 years?
$38,304.90
200
2243
300
What is the y-intercept and growth factor for the function f(x)=2(3)x
y-intercept=2
growth factor= 3
300
f(x)=.25(1.3)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Growth
30%
300
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
300
$900 is invested in an account that pays 1.95%, compounded annually. Determine the value after 15 years.
$1202.41
300
What will be the cost in 17 years?
$32,313.27
400
What is the y-intercept and horizontal asymptote?
y-intercept = (0, 1)
asymptote = y=0
400
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
7%
400
f(x)=a(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
400
$900 is invested in an account that pays 1.95%, compounded annually. Determine the amount of interest earned after 15 years.
$302.41
400
16,941 people
500
Write an exponential equation that has an asymptote of 4 and points down.
y=-a(b)x +4
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
$2000 is invested in a compound interest account. After 5 years, it is worth $2341.15. Determine its annual compound interest rate.
3.2%
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