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MathAlgebra

Which of the Following Are Exponential Functions? Four PCC Practice Examples

Classify four PCC functions by variable position and positive-base rule, then identify exponential growth or decay.

Question

Which of the following functions are exponential functions? For the exponential functions, identify if they represent exponential growth or decay.

a) f(x) = 2(3/4)^x

b) g(x) = 3(-5)^x

c) h(x) = 4x^7

d) j(x) = 59^(x+2)

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Evidence boundary

These classifications apply to the four formulas in PCC Practice 1 as functions over real inputs. The negative-base expression may have real values at selected inputs, but it is not a real-valued exponential function on all real numbers.