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=initial amount/y-intercept
b=multiplier for each y
100
f(x)=3(.93)x
Does this functions represent exponential growth or decay?
Exponential Decay
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 multiplier for the function f(x)=2(3)x
y-intercept=2
multiplier= 3
200
Find the exponential equation for:
Passes through the points (0, 3.5) and (1, 14)
y=3.5(4)x
200
In exponential functions, when a> 0 and b>1, will this be 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 = 1(2)^x
300
How do I know if an exponential function is exponential growth or decay from an equation?
Check: if a is greater/less than 0
if b is greater/less than 1
If both inequality signs (< or >) are the same, then GROWTH
300
f(x)= - 4(1.07)x
Does this functions represent exponential growth or decay? What's the constant percent rate of change?
Exponential Decay
107%.
300
16,941 people
400
What is the multiplier or b for this table?
b=2
400
What is the formula to calculate the "constant percent rate of change" for an exponential function?
b x 100%
400
Does this graph show 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 between each y-value (add or subtract a number)
Exponential has a constant multiplier between each y-value
500
Ms. Wiggins purchased a car for $26,400 and every year the value of the car depreciates by 12%. How much will the car be worth after after 4 years? SHOW THE FORMULA YOU USED TO GET YOUR ANSWER.
f(x)=26400(1 - 0.12)4 = $15,831.96
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