Exponential Growth and Decay Functions. What is an exponential function? An exponential function has the form: y = ab x Where a is NOT equal to 0 and.

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Presentation transcript:

Exponential Growth and Decay Functions

What is an exponential function? An exponential function has the form: y = ab x 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 = ab x

Graphing Exponential Functions Example Is this a growth or decay function???

Graphing Exponential Functions You Try Is this a growth or decay function???

Translating Functions y = ab x-h +k Stretch / Shrink NEGATIVE a = reflection!! BASE Will determine if growth or decay HORIZONTAL SHIFT (opposite direction) VERTICAL SHIFT

Translating Functions Always graph y=ab x first, then translate the function!!

Domain/Range The DOMAIN is all real numbers The RANGE is determined by the VERTICAL shift of the graph!! Find the asymptote!!

Homework pg. 122: 1 – 9 all AND pg. 126: 1 – 9 all