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Explain whether a piecewise function is continuous or discontinuous.
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This is an odd question. It depends on the function.
Take the absolute value function for instance.
The absolute value function is defined piecewise however it is continuous
You can also define a discontinuous piecewise function
Where have you been Alchemista <.<
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Continuous:\[f(x) = \begin{cases} -x &\mbox{if } x < 0 \\ x & \mbox{if } x \ge 0 \end{cases}\] Discontinuous: \[g(x) = \begin{cases} -1 &\mbox{if } x < 0 \\ 1 & \mbox{if } x \ge 0 \end{cases}\]
ignored! o.O
Is this a question you were given in class? If it is, did you copy the question down correctly?
I was busy with other things...
sry sry >.< continue your good work!
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