c. b. Show that $f(x) = \begin{cases} x^2 + 10 & \text{if } x \le 1\\ x + 10 & \text{if } x > 1 \end{cases}$ is continuous but not differentiable at $x = 1$. Sketch the graph of $f(x)$.
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For a function to be continuous at a point, the left and right limits must exist and be equal to the function value at that point. Show more…
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