Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.
f(x)=4(0.61)^x
To determine whether the function represents exponential growth or decay, we examine the base of the exponent, which is 0.61 in this case.
If the base is between 0 and 1, then the function represents exponential decay. If the base is greater than 1, then the function represents exponential growth.
In this case, the base 0.61 is between 0 and 1, so the function represents exponential decay.
The y-intercept can be found by setting x = 0 in the given function:
f(0) = 4(0.61)^0
f(0) = 4(1)
f(0) =4
So, the y-intercept is 4.