for the function f(x)=ab^x, what are the possible values for b if the function is an exponential decay function? select two correct answers

A) squareroot 0.9
B) 1 1/5
C) squareroot e
D) 2 - 0.9999
E) 2^-1

1 answer

An exponential decay function is a function of the form f(x) = ab^x, where b is a positive number less than 1.

The possible values for b if the function is an exponential decay function are:

A) √0.9 - This value is less than 1, so it is a possible value for b in an exponential decay function.
B) 1 1/5 - This value is greater than 1, so it is not a possible value for b in an exponential decay function.
C) √e - This value is greater than 1, so it is not a possible value for b in an exponential decay function.
D) 2 - 0.9999 - This value is greater than 1, so it is not a possible value for b in an exponential decay function.
E) 2^-1 - This value is less than 1, so it is a possible value for b in an exponential decay function.

Therefore, the correct answers are A) √0.9 and E) 2^-1.
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