Let for . At which value of does attain its absolute minimum on the…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let f(x)=∣x−2∣+x24f(x)=|x-2|+\dfrac{x^{2}}{4} for 0≤x≤40\le x\le4. At which value of xx does ff attain its absolute minimum on the interval? (a) x=0x=0 (b) x=1x=1 (c) x=2x=2 (d) x=3x=3

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