Let . Determine the relation between and that makes continuous at…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)={ax2+bx,x≤24x+1,x>2f(x)=\begin{cases}ax^{2}+bx,& x\le 2\\4x+1,& x>2\end{cases}. Determine the relation between aa and bb that makes f(x)f(x) continuous at x=2x=2.

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