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avatar+109 

Let

 

     \(f(x) = \left\{ \begin{array}{cl} ax+3, &\text{ if }x>2, \\ x-5 &\text{ if } -2 \le x \le 2, \\ 2x-b &\text{ if } x <-2. \end{array} \right.\)

 

Find a+b if the piecewise function is continuous (which means that its graph can be drawn without lifting your pencil from the paper).

 Aug 24, 2020
 #1
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a + b = 2 + 8 = 10.

 Aug 24, 2020
 #2
avatar+109 
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could you give a full explanation for your answer??

 Aug 25, 2020

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