Question
What does the "b" value represent in the general form of an exponential function?
y = a(b)^x
A.
common ratio or growth/decay rate
B.
initial value or common ratio
C.
common ratio or x-intercept
D.
initial value or y-intercept
y = a(b)^x
A.
common ratio or growth/decay rate
B.
initial value or common ratio
C.
common ratio or x-intercept
D.
initial value or y-intercept
Answers
GPT-4o mini
The "b" value in the general form of an exponential function \( y = a(b)^x \) represents the common ratio or growth/decay rate. Specifically:
- If \( b > 1 \), it indicates exponential growth.
- If \( 0 < b < 1 \), it indicates exponential decay.
Thus, the correct answer is:
**A. common ratio or growth/decay rate**.
- If \( b > 1 \), it indicates exponential growth.
- If \( 0 < b < 1 \), it indicates exponential decay.
Thus, the correct answer is:
**A. common ratio or growth/decay rate**.