For the function restricted to the interval

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

Problem

For the function ft(x)=x2−2txf_t(x)=x^2-2tx restricted to the interval [0,5][0,5], let t=3t=3. At which xx-value does f3f_3 attain its absolute minimum on this interval? (a) x=1.5x=1.5 (b) x=3x=3 (c) x=2.5x=2.5 (d) x=5x=5

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