If for all real numbers

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

If p′′(x)=6p''(x)=6 for all real numbers xx, which of the following best describes the family of functions p(x)p(x)? (a) Quadratic functions opening upward with leading coefficient 66 (b) Exponential functions of the form Ce6xCe^{6x} (c) Quadratic functions opening upward with leading coefficient 33 (d) Linear functions with constant slope 66

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