The constant ratio of the function f is its growth rate
The function f is an exponential function with a constant ratio of 2
How to determine if the function is an exponential function?
To do this, we simply divide the consecutive function values
From the complete question (see attachment for the table), we have:
f(-1) = 1/4
f(0) = 1/2
f(1) = 1
f(2) = 2
Divide the function values to get the ratio, r
r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)
This gives
r = 2/1 = 1 / 1/2 = 1/2 / 1/4
Evaluate the quotients
r = 2 = 2 = 2
The value of r is the same for the three quotients.
Hence, the function f is an exponential function with a constant ratio of 2
Read more about exponential functions at:
https://brainly.com/question/11464095
