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**Unformatted text preview: **1.3 Exponential Functions Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2008 Acadia National Park, Maine Although some of todays lecture is from the book, some of it is not. You must take notes to be successful in calculus. We will be using the TI-89 calculator in this class. You may use either the TI-89 Titanium or the older TI-89. TI-89 Titanium The pictures in the lectures will usually illustrate the older TI-89. Although the buttons on the Titanium Edition are different shapes and colors, they are in the same positions and have the same functions. TI-89 If $100 is invested for 4 years at 5.5% interest, compounded annually, the ending amount is: ( 29 4 100 123.88 1.055 = On the TI-89: 100 1.055^ 4 ENTER At the end of each year, interest is paid on the amount in the account and added back into the account, so the amount of increase gets larger each year. This is an example of an exponential function : ( 29 x f a x = exponent base Graph for in a [-5,5] by [-2,5] window: x y a = 2, 3, 5 a = MODE Graph. FUNCTION Display Digits FLOAT 6 Angle. RADIAN ENTER Y= ( 29 1 2 ^ y x x = ( 29 2 3^ y x x = ( 29 3 5^ y x x = WINDOW Graph for in a [-5,5] by [-2,5] window: x y a = 2, 3, 5 a = Y= ( 29 1 2 ^ y x x = ( 29 2 3^ y x x = ( 29 3 5^ y x x = WINDOW GRAPH Graph...

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