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Exponential Growth Exponential Growth and and
Decay Decay FunctionsFunctions
What is an exponential function?What is an exponential function?
An exponential function has the form:
y = abx
Where a is NOT equal to 0 and
The base b is a positive number other than 1
Exponential Growth
a > 0
And
b > 1
b is called the growth factor
Exponential Decay
a > 0
And
0< b < 1
b is called the decay factor
y = abx
Graphing Exponential FunctionsGraphing Exponential FunctionsExample
Is this a growth or decay function???
Graphing Exponential FunctionsGraphing Exponential Functions
You TryIs this a growth or decay
function???
Translating FunctionsTranslating Functions
y = abx-h+k
Stretch / Shrink
NEGATIVE a =
reflection!!BASE
Will determine if growth or decay
HORIZONTAL SHIFT
(opposite direction)
VERTICAL SHIFT
Translating FunctionsTranslating Functions
Always graph y=abx first, then
translate the function!!
Domain/RangeDomain/Range
The DOMAIN is all real numbers
The RANGE is determined by the VERTICAL shift of the
graph!! Find the asymptote!!
HomeworkHomework
pg. 122: 1 – 9 all
AND
pg. 126: 1 – 9 all