Algebra 2: Exponential Functions
Exponential Growth and Decay Notes
Name
Date
____________/10
Goal:
Exponential Growth
y = abx
Graph y = 2x
Characteristics of Parent Graph
x
-2
-1
0
1
2
3
y
1. Increasing from
2. y –intercept at
Why?
3. Horizontal Asymptote at
4. Domain
5. Range:
Identify the changes to the parent graph then find the y-int., HA, and increasing/decreasing.
1. y = 3x + 2
x
-3
-2
-1
0
1
2
y
2. y  2  3x
x
-3
-2
-1
0
1
2
y
3. y  1 4  2x
x
-2
-1
0
1
2
3
y
4. y  6x 2
x
-2
-1
0
1
2
3
4
y
Exponential Decay
y = abx
1
Graph y =  2 
 
x
-2
-1
0
1
2
3
x
Characteristics of Parent Graph
1. Decreasing from
Y
2. y –intercept at
Why?
3. Horizontal Asymptote at
4. Domain:
5. Range:
Identify the changes to the parent graph then find the y-int., HA, and increasing/decreasing.
1.
1
y  2 
4
x
-3
-2
-1
0
1
2
y
x
2.
1
y  
5
x
x
-3
-2
-1
0
1
2
y
Fill in the following charts before graphing the exponential equations. Label the y-intercept with
its point value and identify if the graph is increasing or decreasing.
2. y 
1. y = 5x + 2
x
-4
-3
-2
-1
0
1
y
increasing or decreasing
1
4. y   
4
x
-1
0
1
2
3
4
x
-2
-1
0
1
2
3
1 x
4
2
y
increasing or decreasing
3. y = 2x + 1
x
-3
-2
-1
0
1
2
y
increasing or decreasing
x 3
5. y = 6 x
y
increasing or decreasing
6. y = (1/2)x + 4
x
-3
-2
-1
0
1
2
y
increasing or decreasing
x
-3
-2
-1
0
1
2
y
increasing or decreasing