b) y = 3(.25)^x
growth or decay
y-intercept:
what - you didn't like my earlier response? See the related questions below.
To determine whether the given function represents growth or decay, we can analyze the base of the exponential term. In this case, the base is 0.25.
For exponential functions, if the base is between 0 and 1, it represents decay, while if the base is greater than 1, it represents growth.
In the given function y = 3(0.25)^x, the base (0.25) is between 0 and 1. Therefore, the function represents decay.
To find the y-intercept, we can set x = 0 in the function and solve for y:
y = 3(0.25)^0
y = 3(1)
y = 3
So, the y-intercept of the function y = 3(0.25)^x is y = 3.