The output value of f(2) in the given piecewise function is 4.
Hence, option D)4 is the correct answer.
What is the output value of f(2) in the given piecewise function?
Given the function in the question;
√(x + 6) if x > 2
x³ - 4 if x ≥ 2
Taking a look at the restrictions of the piecewise function, we cannot use that of x > 2 because 2 is not greater than 2.
Our input fits perfectly at x ≥ 2 because 2 is equal to 2.
Hence, we use;
f(x) = x³ - 4
Plug in 2 in places of all occurrence of x and simplify
f(2) = (2)³ - 4
f(2) = 8 - 4
f(2) = 4
The output value of f(2) in the given piecewise function is 4.
Hence, option D)4 is the correct answer.
Learn more about piecewise functions here: https://brainly.com/question/14379796
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