latex piecewise function

A piecewise function in LaTeX is typically represented using the "\begin{cases}" command. This command allows you to define different cases or conditions for your function. Each case is defined using the "\case" command, and the function is written using the "\text" command. Here is an example of how to write a piecewise function in LaTeX:

\[
f(x) = 
\begin{cases}
x^2 & \text{if } x < 0 \\
2x & \text{if } 0 \leq x < 5 \\
x^3 & \text{if } x \geq 5 \\
\end{cases}
\]

In this example, the function f(x) is defined as a piecewise function with three cases. The first case is x^2 for values of x less than 0. The second case is 2x for values of x between 0 (inclusive) and 5 (exclusive). The third case is x^3 for values of x greater than or equal to 5.

To write a piecewise function with more than three cases, you simply add more cases using the "\case" command. Make sure to include the necessary "&" and "\" symbols to separate each case and its corresponding condition.

I hope this explanation helps! Let me know if you have any further questions.