### Home > APCALC > Chapter 1 > Lesson 1.2.1 > Problem 1-21

Given the functions below, compute the following values. Homework Help ✎

Calculate *f*(0),*f*(1), and*f*(3).*x*= 1 can be called, informally, the Boundary Point of the piecewise function*f*(*x*). This is because*x*≤ 1 is the location where the left and the right pieces switch.*f*(0) and*f*(1) are on the left side of the Boundary Point,*f*(3) 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 PIECECalculate *g*(1),*g*(3), and*g*(9.4).The Boundary Point is

*x*≥ 3. So*f*(1) lies on the left side of the piecewise function while*f*(3) and*f*(9.4) lie on the right.Calculate *h*(–3),*h*(0),*h*(0.5), and*h*(4).This function has two boundary points and thre

Sketch a graph of

*y*=*h*(*x*).e pieces: a left piece, a middle piece and a right piece. On which piece do the points f(−3), f(0), f(0.5) and f(4) lie?