MODULE 2 DISCUSSION Create a piecewise - defined function f ( x ) using ? S: rational function when * 6 - 2 Vi polynomial of degree 3 or greater when x 2 - 2 rational function ; f ( x ) = q ( x ) P ( X ) polynomial polynomial where q( x ) to S : f ( x ) = * + 5 when X - 2 : 5 x3 +2 x2 +2x+19 /f ( x ) = F ( x ) = 5 ( - 2 ) + 2 ( - 2 ) 2 + 2(- 2 ) + 1 - 1 7 5 ( - 8 ) + 2 ( 4 ) + ( - H ) + 1 - 7 - 40 + 8 - 4 +1 = - 35 The limit from the right = - 35 X -2 - 2 + 5 x + 2 x2 + 2 x+1 = - 35 Because - 0. 672 7 - 35, the two sided limit does not exist. These limits were found using an analytical approach before being checked using the graphical approach