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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. Does the following Table represent an Exponential function? If so, is the function a decay or growth model?

Section 3.5 ­ 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.

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