Given the functions below, compute the following values. Homework Help ✎
Calculate , , and . can be called, informally, the Boundary Point of the piecewise function . This is because is the location where the left and the right pieces switch. and are on the left side of the Boundary Point, is on the right side of the Boundary Point.
f(0) = 4 − 3(0) = 4 LEFT PIECE
f(1) = 4 − 3(1) = 1 LEFT PIECE
f(3) = (3)² = 9 RIGHT PIECE
Calculate , , and .
The Boundary Point is
. So lies on the left side of the piecewise function while and lie on the right. Calculate , , , and .
This function has two boundary points and three pieces: a left piece, a middle piece and a right piece.
Sketch a graph of