A quadratic function is given by

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A quadratic function is given by g(x)=ax2+bg(x)=ax^{2}+b. The function satisfies all of the following conditions: • The average rate of change of gg on [1,3][1,3] is 88. • The instantaneous rate of change of gg at x=3x=3 is 1212. • g(3)=20g(3)=20. What is the value of bb? (a) −4-4 (b) 22 (c) −2-2 (d) 00

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