Question

Create your own piecewise function and graph it on the coordinate plane. Explain whether your piecewise function is continuous or discontinuous.

Answer 1

\[f(x) = |x+4| = \left\{\begin{array}{rcc}
x + 4 & \text{if} & x \geq -4 \\
- x - 4& \text{if} & x < -4
\end{array}
\right.
\]
that one is continuous. but you can make any you like using this template from zarkon

Answer 2

thank you :)