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

Chapter 3, 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.

Equation Transcription:

 {

Text Transcription:

f(x) = {_1 - 4x - x^2, x geq -2 ^x^2 + 4x + 2, x < -2

f

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