Graphs
Initial Value
Formula
Determine Rate
Write it out!
100
growth or decay?
growth
100
y=9(.98)x
9
100
Growth or Decay
y=7(.88)x
decay
12%
100
What is the Decay Rate?
y=7(.28)x
72%
100
write an exponential function with the following parameters:
initial: 240
decay by 10%
A=240(0.9)^t
200
growth or decay?
decay
200
y=0.2(2)x
0.2
200
Growth or Decay
y=1.9(9)x
growth
800%
200
What is the growth Rate?
y=1.9(1.56)x
56%
200
write an exponential function with the following parameters:
initial: 0.5
growth by 15%
A=0.5(1.15)^t
300
what is the dotted line at y=-3 called?
the asymptote
300
y=2(0.57)x
2
300
Growth or Decay
y=35(.97)x
decay
3%
300
What is the Decay Rate?
y=35(.59)x
41%
300
write an exponential function with the following parameters:
initial: 818
decay by 5%
A=818(0.95)^t
400
decay
400
y=5.6(1.03)x
5.6
400
Growth or Decay
y=1.4(3.03)x
growth
203%
400
What is the growth Rate?
y=1.4(1.43)x
43%
400
write an exponential function with the following parameters:
initial: 1
growth by 1%
A=1.01^t
500
what's the reason an exponential curve might present as growth or as decay?
growth means the base is greater than 1 ( b>1 )
decay means the base is between 0 and 1 ( 0<b<1 )
500
y=2.3x
1
500
Growth or Decay
y=0.3x
decay
70%
500
What is the growth Rate?
y=1.21x
21%
500
write an exponential function with the following parameters:
initial: 4096
decay by 50%
time: 12
A=4096(0.5)^12
A=1