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The function f (x) = -x2 + 4 is defined on the domain (-8, 8]. Which of the following is the
correct associated range?
O (-00, 00)
o(-0, 4]
O [-60, 68]
O [4, 68]
O [-60, 4]
O [0, 4]


Sagot :

The second option is correct: (-∞, 4].

Given the function, f(x) =- x^2 + 4, where its vertex, (0, 4) is the maximum point:

Since the parabola opens downward (due to the negative coefficient of -x^2), then it means that its possible range values must be at most 4, and it continues toward negative infinity.

Therefore, the correct answer is option2: (-∞, 4].

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