Consider the function on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the function k(x)=∣x2−4∣k(x)=|x^{2}-4| on the interval [−3,3][-3,3]. Which ordered pair (m,x)(m,x) gives the absolute minimum value mm of kk and one xx-value in [−3,3][-3,3] where that minimum occurs? (a) (0,0)(0,0) (b) (0,2)(0,2) (c) (−4,0)(-4,0) (d) (5,3)(5,3)

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