Given Graphs,Find |f – g|

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)|.


Show/Hide Solution

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 1 1
0 0

#1 fits.

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