AI Tutor
Back to Limits and Continuity

Exercise 9

Avg difficulty 2.5

Determine the value(s) of kk that make(s) the function gg defined by g(t)={t2+kt−kt≥3t2−4kt<3\fe{g}{t}=\begin{cases}t^2+kt-k&t\geq3\\t^2-4k&t\lt 3\end{cases} continuous over (−∞,∞)\ointerval{-\infty}{\infty}.

Simonds, Calculus Lab Manual, §2.14 Supplement, Exercise 9

AI Tutor

Adapted from Calculus Lab Manual © 2012–2016 Portland Community College. Licensed under CC BY-SA 4.0. Source: Calculus Lab Manual. Imported at revision 3060f8e.