Find the Constant $a$ Such That the Function $f ( x ) = \left\{ \begin{array} { r r } - 4 \cdot \frac { \sin x } { x } , & x < 0 \\a + 7 x , & x \geq 0\end{array} \right.$

question 59

Multiple Choice

Find the constant $a$ such that the function
$f ( x ) = \left\{ \begin{array} { r r } - 4 \cdot \frac { \sin x } { x } , & x < 0 \\a + 7 x , & x \geq 0\end{array} \right.$ is continuous on the entire real line.

• A) 1
• B) \(- 7\)
• C) \(7\)
• D) \(4\)
• E) \(- 4\)

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