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Let f(x)={x4 if x5kx224x+46 if x>5f ( 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) ={x4 if x5kx224x+46 if x>5f ( 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 kk that will make ff continuous on (,) ( - \infty , \infty ) .


Definitions:

One Hundred Cases

A numerical expression typically signifying a significant quantity or sample size in various contexts, such as legal cases, patient numbers, or research studies.

Rule of Four

A procedural rule of the United States Supreme Court stating that if four justices agree to grant a writ of certiorari, the Court will consider the case.

Writ of Certiorari

A legal term referring to a type of writ seeking judicial review, where a higher court is asked to order a lower court or agency to send the records of a case for review.

Justiciable Controversy

A dispute or case suitable for adjudication by a court, characterized by a real and substantial controversy that demands legal determination.

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