Suppose that the functions *f(x)* and *g(x)* have the following graphs:

Find the graph which most resembles the graph of |*f(x) – g(x)*|.

We make a table:

x |
f(x) |
g(x) |
f(x) – g(x) |
|f(x) – g(x)| |

2 | 2 | 1 | 1 | 1 |

1 | 1 | 0 | 1 | 1 |

0 | 0 | -1 | 1 | 1 |

-1 | -1 | 0 | -1 | 1 |

-2 | 0 | 1 | -1 | 1 |

½ | ½ | -½ | 1 | 1 |

-½ | -½ | -½ | 0 | 0 |

#1 fits.