Let , if and be the maximum and minimum value of respectively,…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let f(x)=10−∣x−10∣ ∀x∈[−9,9]f(x)=10-|x-10|\ \forall x\in[-9,9], if MM and mm be the maximum and minimum value of f(x)f(x) respectively, then: (a) M+m=0M+m=0 (b) 2M+m=−92M+m=-9 (c) 2M+m=72M+m=7 (d) M+m=7M+m=7

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