The recursively defined function that describes the given situation would be f(n) = f(n-1) x 0.9, after four years, 9185 birds will be remaining.
What is a function?
A function is defined as a relation between the set of inputs having exactly one output each.
The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000.
f(0) = 14000
f(n) = f(n-1) x 0.9
f(1) = f(0) x 0.9
= 14000 x 0.9
= 12600
f(2) = f(1) x 0.9
= 12600 x 0.9
= 11340
f(3) = f(2) x 0.9
= 11340 x 0.9
= 10206
f(4) = f(3) x 0.9
= 10206 x 0.9
= 9185.4
Therefore, after four years, 9185 birds will be remaining.
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