Question

Explain whether a piecewise function is continuous or discontinuous.

Answer 1

This is an odd question. It depends on the function.

Answer 2

Take the absolute value function for instance.

Answer 3

The absolute value function is defined piecewise however it is continuous

Answer 4

You can also define a discontinuous piecewise function

Answer 5

Where have you been Alchemista <.<

Answer 6

Continuous:\[f(x) = \begin{cases}
-x &\mbox{if } x < 0 \\
x & \mbox{if } x \ge 0
\end{cases}\]
Discontinuous: \[g(x) = \begin{cases}
-1 &\mbox{if } x < 0 \\
1 & \mbox{if } x \ge 0
\end{cases}\]

Answer 7

ignored! o.O

Answer 8

Is this a question you were given in class? If it is, did you copy the question down correctly?

Answer 9

I was busy with other things...

Answer 10

sry sry >.< continue your good work!