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For real numbers $x$, let

\[f(x) = \left\{
\begin{array}{cl}
x+2 &\text{ if }x>3, \\
2x+a &\text{ if }x\le 3.
\end{array}
\right.\]

What must the value of $a$ be to make the piecewise function continuous (which means that its graph can be drawn without lifting your pencil from the paper)?

 Mar 6, 2021
 #1
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The value of a is -4.

 Mar 6, 2021

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