-1j(x) =f thesph fro mabo other words pt ttn ph Label-2-1e close to we want(a) What do you notice about j(-1)?we ve a snaller tolersce aroundIf we are given an output tolerance around 2, can...

Extracted text: 1. (Applies to Standards: L2, L7) to ba y d Consider the piecewise-defined function, j(x) below. L2? + 1 1-(x+1)² +2 x < -1="" x=""> -1 j(x) = f thesph fro m abo other words pt t tn ph Label -2 -1 e close to we want (a) What do you notice about j(-1)? we ve a snaller tolersce around If we are given an output tolerance around 2, can we still find a corresponding input tolerance 2 (y 001 about a = -1? (b) Algebraically find the interval of r-values around r = -1 that will ensure the function values lie within 0.25 of 2. (In other words, let L = 2 and e = 0.25.) Use 3 decimal places. (0Do th ition and specife notation < x="">< (c)="" on="" the="" graph="" of="" j(x)="" above,="" label="" the="" following:="" i.="" the="" tolerance="" window="" around="" l="2." your="" label="" should="" be="" placed="" on="" the="" appropriate="" axis="" and="" labeled="" (i).="" ii.="" the="" window="" about="" ro="-1" that="" you="" found="" in="" (b).="" your="" label="" should="" be="" placed="" on="" the="" appropriate="" axis="" and="" labeled="">