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viii. The function $ f(x)=\left\{\begin{array}{ll}k^{2} x-k & \text { if } x \geq 1 \\ 2 & \text { if } x<1\end{array}\right. $ is a continuous function, then find the value of $ k $.

          viii. The function \( f(x)=\left\{\begin{array}{ll}k^{2} x-k & \text { if } x \geq 1 \\ 2 & \text { if } x<1\end{array}\right. \) is a continuous function, then find the value of \( k \).

$viii. The function f(x)={ k^2 x-k if x ≥ 1 2 if x<1 . is a continuous function, then find the value of k.$

Added by Robert C.

Calculus, Early Transcendentals

Michael Sullivan, Kathleen Miranda 1st Edition

Chapter 1

Instant Answer

Solved by Expert Suchitra K

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The function $ f(x) $ is defined piecewise, with a potential point of discontinuity at $ x = 1 $. Show more…

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viii. The function $ f(x)=\left\{\begin{array}{ll}k^{2} x-k & \text { if } x \geq 1 \\ 2 & \text { if } x<1\end{array}\right. $ is a continuous function, then find the value of $ k $.