SOLUTION: Is a piecewise function always continuous across its entire domain? Explain your answer and give an example.

SOLUTION: Is a piecewise function always continuous across its entire domain? Explain your answer and give an example.

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Question 945066: Is a piecewise function always continuous across its entire domain? Explain your answer and give an example.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
No.

For example, take the Heaviside function, defined by H(x) = 0 if x < 0, 1/2 if x = 0, and 1 if x > 0. It is defined piecewise, but is not continuous everywhere.
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