For what value of k is the function \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} {2x + \frac{1}{4},\;\;\;\;\;x 0} \end{array}} \right.\) continuous ?

For what value of k is the function \(f\left( x \right) = \;\left\{ {\

1.	For what value of k is the function \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} {2x + \frac{1}{4},\;\;\;\;\;x < 0}\\ {k,\;\;\;\;\;\;\;x = 0}\\ {{{\left( {x + \frac{1}{2}} \right)}^2},\;\;\;\;\;\;\;x > 0} \end{array}} \right.\) continuous ?
A.	\(\frac{1}{4}\)
B.	\(\frac{1}{2}\)
C.	1
D.	2
Answer» B. \(\frac{1}{2}\)

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For what value of k is the function \(f\left( x \right) = \;\left\{ {\begin{array}{*{20}{c}} {2x + \frac{1}{4},\;\;\;\;\;x < 0}\\ {k,\;\;\;\;\;\;\;x = 0}\\ {{{\left( {x + \frac{1}{2}} \right)}^2},\;\;\;\;\;\;\;x > 0} \end{array}} \right.\) continuous ?

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