Determine whether f is an exponential function of x. if so, find the constant ratio
1 answer:
The constant ratio of the function f is its growth rate
The function f is an exponential function with a constant ratio of 2
<h3>How to determine if the function is an exponential function?</h3>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:
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