The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have a table in which the x, and f(x) data are shown.
As we can see the value of f(x) is increasing rapidly for every x.
The exponential function is:
y = a(1+r)×
After plugging all points and finding the value of a and r
y = 6.9402(2.4495)×
The exponential growth factor = 1 + r = 2.4495 ≈ 2.45 or 245%
Thus, the function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.
Learn more about the exponential function here:
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