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Greatest Integer Function

Find the sum ...

Question

Find the sum of maximum and minimum values of $y = ∣ ∣ 4 - x^{2} ∣ ∣, - 3 \leq x \leq 3.$

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Solution

From graph it is clear that, in interval $[- 3, 3]$ , $y_{m a x} = 5, y_{m i n} = 0$

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