without graphing, determine whether the function represents exponential growth or exponential decay. then find the y-intercept. y=4(5/6)^×
A. exponential growth;4
B. exponential decay;4
C. exponential growth;0
D. exponential decay;5
The correct answer is B. exponential decay; 4.
To determine whether the function represents exponential growth or decay, we need to examine the base of the exponential term. In this case, the base is (5/6).
If the base is greater than 1, then it represents exponential growth. If the base is between 0 and 1, it represents exponential decay.
In this case, the base (5/6) is between 0 and 1, so the function represents exponential decay.
To find the y-intercept, we set x = 0 and evaluate the function:
y = 4(5/6)^0
= 4 * 1
= 4.
Therefore, the y-intercept is 4.