Sketch the graph of (a) Is continuous at (b) Is differentiable at Explain

Chapter 2, Problem 8

(choose chapter or problem)

Sketch the graph of \(f(x)=\left\{\begin{array}{ll} x^{2}+4 x+2, & x<-2 \\ 1-4 x-x^{2}, & x \geq-2 \end{array}\right.\)

(a) Is f continuous at x = -2?

(b) Is f differentiable at x = -2? Explain.

Text Transcription:

f(x)={x^2 +4x+2, x < -2  _  1-4x-x^2 , x geq -2

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