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# HELP THANKS!!

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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)?

Apr 20, 2021

#1
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The value of a is 3.

Apr 20, 2021
#2
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Incorrect, Sorry.

Guest Apr 20, 2021
#3
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at x = 3   both pieces must have the same value to be continuous

x+2   =   2x + a    when   x = 3

3+2   =  2(3) + a

5   = 6 + a

a = -1

Apr 20, 2021
#4
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Correct $$a=-1$$

Guest Apr 20, 2021