Final answer:
Graphing absolute value piecewise functions involves identifying the different parts of the function and graphing them separately. The resulting graph is a V-shape opening upwards.
Step-by-step explanation:
Graphing absolute value piecewise functions involves identifying the different parts of the function and graphing them separately. Absolute value functions have the form f(x) = |x|, where |x| represents the distance of x from 0 on a number line.
For example, if we have the piecewise function f(x) = |x| for x ≤ 0 and f(x) = x for x > 0, we can graph the two parts separately. The graph of f(x) = |x| is a V-shape, with the vertex at (0,0), and the graph of f(x) = x is a straight line with slope 1 passing through the origin.
To graph the entire piecewise function, we combine the graphs of the two parts by connecting the endpoint of the V-shape at (0,0) with the straight line. The resulting graph would be a V-shape opening upwards.