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If y = ab^x represents an exponential decay function, what are the possible values of b?

a b = 1
b b > 1
c b < 0
d 0 < b < 1

2 Answers

1 vote

Final answer:

In an exponential decay function represented by y = ab^x, the value of b must be between 0 and 1 (0 < b < 1) to correctly depict decay.

Step-by-step explanation:

If y = abx represents an exponential decay function, the possible values of b are that 0 < b < 1. In exponential decay, the factor b represents the percent decrease if it is less than 1, but greater than 0. If b was equal to or greater than 1, or less than or equal to 0, it would not represent a decay. For example, when b = 0.5, the function halves with each increase in x. In an exponential decay function, as x increases, y decreases, which is achieved by having a base b between 0 and 1.

User Fannik
by
8.0k points
5 votes

Answer:

d

Step-by-step explanation:

User Mderk
by
8.4k points

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