Key Features Expon. f(x)'s
Growth or Decay
Percent Rate
100
If, y=a(bx ), What are the parameters and what do they represent?
a=initial amount/y-intercept
b=multiplier
100
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
100
What is the percent growth/decay rate?
y=5(0.5)^x
50%
200
What is the y-intercept and multiplier for the function f(x)=2(3)x
y-intercept=2
multiplier= 3
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
What is the percent growth/decay rate?
y=5(1.3)^x
30%
300
What is the y-intercept and horizontal asymptote?
y-intercept = (0, 1)
asymptote = y=0
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
What is the percent growth/decay rate?
y=(0.01)^x
99%
400
What's the multiplier?
b=2
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay. 30%
500
What is the difference between linear functions and Exponential functions
Linear has a constant difference
Exponential has a multiplier
500
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
500
What is the percent growth/decay rate?
y=60(1.33)^x
33%