2. Exponential Functions
Exercise #19
Pre-Calculus 40S
Example
f ( x) 1x
y
x
Characteristics of Exponential Functions (in the above three examples)
A) Domain
B) Range
C) Common Point
If a 1 , then ____________________________________________
If 0 a 1 , then _________________________________________
If a 1 , then ___________________________________________
3. Exponential Functions
Exercise #19
Pre-Calculus 40S
Transformations
Determine what each of the following does to transform the graph y a x . State the
domain, range, y-intercept and whether the function is increasing or decreasing.
x
1. y 2 Transformation:
Domain: Range: Y Int: :
2. y 2x Transformation:
Domain: Range: Y Int: :
3. y 2x 1
Transformation:
Domain: Range: Y Int: :
4. y 2x 1 Transformation:
Domain: Range: Y Int: :
5. y 2x 1 Transformation:
Domain: Range: Y Int: :
Try
Sketch f ( x) 3x 3
4 hint: start with the function f ( x) 3x
y
x