It is found that the range of the given function will be y ≤ 9. Then option B is correct.
The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The given function is f(x)
f(x) = {x + 7, if x>2
{-2x + 13 if x ≤ 2
Therefore, when x is less than 2, we have the output as
x + 7 = 9
When x is equal to or greater than 2, we have the output as
-2x + 13 = -2(2) + 13 = 9
Hence, we can conclude that the range of the given function will be y ≤ 9.
Then option B is correct.
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