Question

When functions are defined by more than one equation, they are called __________________ functions.

Short answer

When functions are defined by more than one equation, they are called piecewise-defined functions.

Step-by-step solution

Step 1. Given information

We have been given a statement as: When functions are defined by more than one equation, they are called __________________ functions.

We have been asked to fill in the blank.

Step 2. Consider absolute value functions

The absolute value function$f\left(x\right)=\left|x\right|$is defined as:

$f\left(x\right)=x$if $x\ge 0$

and $f\left(x\right)=-x$ if $x\le 0$

This function is defined by more than one equation.

Such functions are called piecewise-defined functions.