Let be twice differentiable with

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

Problem

Let pp be twice differentiable with p′′(x)=x2−4x+3p''(x)=x^{2}-4x+3. For which values of xx is the graph of pp concave up? (a) 1<x<31<x<3 (b) x≤1 or x≥3x\le 1\text{ or }x\ge 3 (c) x<1 or x>3x<1\text{ or }x>3 (d) x<1x<1 only

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