Functions, 2ADV EQ-Bank 2 MC

The function \(f(x)=\left\{\begin{array}{ll}k x+2, & \text{for } x<-1 \\ x^2+3, & \text{for } x \geq-1\end{array}\right.\)

If \(f(x)\) is continuous at \(x =-1\), what is the value of \(k\) ?

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\(A\)

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\(f(x) \ \text{ is continuous at} \ \ x=-1:\)

\(k(-1)+2=(-1)^2+3 \ \ \Rightarrow\ \ k=-2\)

\(\Rightarrow A\)