a. Graph the function b. Is ƒ continuous at x = 1?c. Is ƒ

Chapter , Problem 97PE

(choose chapter or problem)

a. Graph the function

\(f(x)=\left\{\begin{array}{ll}x, & 0 \leq x \leq 1 \\2-x, & 1<x \leq 2\end{array}\right.\)

b. Is \(f\) continuous at \(x = 1\)?

c. Is \(f\) differentiable at \(x = 1\)?

Give reasons for your answers.

Equation Transcription:

Text Transcription:

f(x) = {x, & 0 leq x leq 1,  2-x, & 1 < x leq 2

f

x = 1

f

x = 1

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