Let h(x)= cases ax+b,& x1

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

Problem

Let h(x)={ax+b,x<1,4,x=1,2x2−a,x>1.h(x)=\begin{cases} ax+b,& x<1,\\ 4,& x=1,\\ 2x^{2}-a,& x>1. \end{cases} Find the values of aa and bb so that hh is continuous at x=1x=1.

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