Evaluate and Write Piecewise Functions
1) Let us evaluate a Piecewise Function by looking at its graph.
2) Let us write a Piecewise Function that would generate each graph. First write
an inequality to represent each interval of the domain. Then write an equation to
generate the shape of the graph in each respective domain interval.
3) Finally, let us evaluate by examining the function, itself. Determine the interval
of the domain which contains your “x” value. Then substitute “x” in only that
interval’s equation.
f (x) g (x)
Look at the graph to find: Look at the graph to find:
f (-3) = f (2) = g (-3)= g (-1) =
Write f (x). Find domain and range. Write g (x). Find domain and range.
Now use the function definition to evaluate…
f (-7) = f (5) = g (-7) = g (-1) =
