Q. Does the function model exponential growth or decay?f(x)=3⋅(47)xChoose 1 answer:(A) Growth(B) Decay
Determine Base Type: To determine whether the function represents exponential growth or decay, we need to examine the base of the exponential function, which is (47) in this case. If the base is greater than 1, the function models exponential growth. If the base is between 0 and 1, the function models exponential decay.
Base Comparison: Since 47 is greater than 1 (because 7 divided by 4 equals 1.75, which is greater than 1), the function f(x)=3×(47)x represents exponential growth.
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