Draw the graph of the function and discuss the continuity and differentiability at for

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Draw the graph of the function and discuss the continuity and differentiability at x=1x = 1 for, f(x)={3x,when −1≤x≤14−x,when 1<x<4f(x) = \begin{cases} 3x, & \text{when } -1 \le x \le 1 \\ 4-x, & \text{when } 1 < x < 4 \end{cases}

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