For an exponential decay function written in the form f(x)=abx𝑓(𝑥)=𝑎𝑏𝑥 , which are possible values of b? Select all that apply.
Question
For an exponential decay function written in the form f(x)=abx𝑓(𝑥)=𝑎𝑏𝑥 , which are possible values of b? Select all that apply.
Solution
For an exponential decay function, the base (b) in the function f(x) = ab^x must be between 0 and 1 (0 < b < 1). This is because, in an exponential decay function, the value of the function decreases as x increases, which is only possible if the base is a fraction between 0 and 1. So, any value of b that is greater than 0 and less than 1 is a possible value for an exponential decay function.
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