2590.12 – Function Graphs

Suppose that the functions $f(x)$ and $g(x)$ have the graphs shown in part $A$ of the figure below. Then which of the graphs 1) to 5) in part $B$ most is the graph of $|f(x) - g(x)|$?

Solution

We make the table shown below and find that answer 2) must be correct as the others are eliminated.