Question

true or false: an absolute value function is an example of a piecewise function. true false

Explanation:

The absolute value function \( y = |x| \) can be defined piecewise as \( y=

$$\begin{cases}x, & x\geq0\\ -x, & x < 0\end{cases}$$

\). A piecewise function is a function defined by multiple sub - functions, each applying to a different interval of the domain. Since the absolute value function is defined by different expressions for different parts of its domain (\(x\geq0\) and \(x < 0\)), it is a piecewise function.

Answer:

True