Q. 5 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

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.