"Given a piecewise graph, be able to write it's function."
A piecewise function is composed of two or more parts. Each part of the piecewise function is drawn where it's condition is true. For example:
Let's take a look at the graph of this function.
Each part of the function is graphed normally until the point where the condition, the part after "if", stops being true. This point is marked with a hollow or solid circle, depending on the type of inequality in the condition.
Now do it backwards. By looking at the graph, determine each part and it's condition.
Graph 1:
Graph 2:
Graph 3:
