SOLUTION: GRAPH THE PIECEWISE - DEFINED FUNCTION F(X)={-1/4 X SQUARED + 3 FOR X LESS THAN OR EQUAL TO 2 AND 1/4 X FOR X GREATER THAN 2}

f(x) = 

Below is the full graph of y = 
and to the right is the graph with the part to the right
of x=2 chopped off and a solid darkened circle at the
endpoint at 2 since that point (2,2) IS included in the 
final graph of the piecewise function f(x)





Below is the full graph of y = 
and to the right is the graph with the part to the left
of x=2 chopped off and a open circle at the
endpoint at 2 since that point (2,) IS NOT included in the 
final graph of the piecewise function f(x).



Now we put those chopped-off graphs together, and we have this:



That's the graph of

f(x) = 

Edwin