4.03: Exponential Function Models Essential Questions 4.03 How do the properties of exponents apply to exponential functions? · How are key features of graphs and tables used to model relationships between · two quantities? How can the average rate of a change be identified for a function? · Note-taking Guide: Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE The form of an Exponential functions have f(x) = exponential _____________ in the exponent. function(pg2) To find a power of a power, you have Give an equivalent function to __________ the _____________. of f(x) = 3(4)^3x Growth Rate (pg 3) Rate of change: If an amount increases by ___________ is when the base of the 4%, the growth rate will be exponential expression is greater ___ + ___ . than 1. If an amount decreases by _________ is when the base of the 5%, the growth rate will be exponential expression is between 0 ____ -_____. and 1 Compound Interest f(x) = P(_______)^x (pg3) Domain (pg 4) Range (pg 4) In the form __________, the is equal to a. In the form ___________, the is equal to P. Average Rate of Change (pg5)
4.03: Exponential Function Models Essential Questions 4.03 · How do the properties of exponents apply to exponential functions? · How are key features of graphs and tables used to model relationships between two quantities? · How can the average rate of a change be identified for a function? Note-taking Guide: Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE The form of an exponential function(pg2) Exponential functions have _____________ in the exponent. f(x) = To find a power of a power, you have to __________ the _____________. Give an equivalent function of f(x) = 3(4)^3x Growth Rate (pg 3) Rate of change: ___________ is when the base of the exponential expression is greater than 1. _________ is when the base of the exponential expression is between 0 and 1 If an amount increases by 4%, the growth rate will be ___ + ___ . If an amount decreases by 5%, the growth rate will be ____ -_____. Compound Interest (pg3) f(x) = P(_______)^x Domain (pg 4) Range (pg 4) In the form __________, the is equal to a. In the form ___________, the is equal to P. Average Rate of Change (pg5)
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