Question
Find the numbers at which $ f $ is discontinuous. At which of these numbers is $ f $ continuous from the right, from the left, or neither? Sketch the graph of $ f $.$ f(x) = \left\{ \begin{array}{ll} x^2 & \mbox{if $ x < -1 $}\\ x & \mbox{if $ -1 \le x < 1 $} \\ 1/x & \mbox{if $ x \ge 1 $} \end{array} \right.$
Step 1
The function $f$ is continuous on $(-\infty,-1),(-1,1),$ and $(1, \infty),$ where it is a polynomial, a polynomial, and a rational function, respectively. Show more…
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