Let $f ( x ) = \left\{ \begin{array} { c c } x - 4 & \text { if } x \leq 5 \\k x ^ { 2 } - 24 x + 46 & \text { if } x > 5\end{array} \right.$

question 17

Multiple Choice

Let
$f ( x ) = \left\{ \begin{array} { c c } x - 4 & \text { if } x \leq 5 \\k x ^ { 2 } - 24 x + 46 & \text { if } x > 5\end{array} \right.$
Find the value of $k$ that will make $f$ continuous on $( - \infty , \infty )$ .

• A) 5
• B) 46
• C) \(- 4\)
• D) 3

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