Exponential Growth and Decay Functions. What is an exponential function? An exponential function has...
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Transcript of Exponential Growth and Decay Functions. What is an exponential function? An exponential function has...
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