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Identifying Exponential Functions from a Table

Section Exponential Functions Definition of an Exponential Function An Exponential function is a function that can be represented by the equation f(x) = abx where a and b are constants, b > 0 and b 1. The independent variable is in the exponent. Ex. f(x) = 2x is an Exponential function, but f(x) = x2 is not, because the variable is not in the Identify the equations of Exponential Functions . For those that are Exponential , identify a and )f(x) = ( )x b.)f(x) = x c.)f(x) = 5(3)x d.)f(x) = 4( )x e.)f(x) = 7x3 131312 Identifying Exponential Functions from a Table A function is said to be an Exponential function if equal steps in the independent variable produce equal ratios for the dependent variable.

Ex.1 ­ Identify the equations of exponential functions. For those that are exponential, identify a and b. a.) f(x) = ( )x b.) f(x) = x c.) f(x) = 5(3)x d.) f(x) = 4( )x e.) f(x) = 7x3 1

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