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(a)
Yes, the function is exist.
Because the each population of U.S. corresponds to exactly one particular year.
So the function P is one - to - one function.
Thus, the function is exist.
(b)
The represents the time in years for a given population level.
(c)
Observe the given table of values :
The value 357.5 corresponds to exactly one value, i.e, 25.
Thus, the value of .
(d)
No, is not exist at 2050.
Because then the population for 2030 and 2050 would be the same(The function values and ).
Thus, the function is not a one - to - one.
So, there is no possibility for inverse.
(a) Yes.
(b) The represents the time in years for a given population level.
(c) The value of .
(d) No.
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