Could someone please check my work

2. If | f| is continuous at c , does it follow that f is continuous at c ? Justify your answer. No. Let f(a) = { - 1, if a > c} Then If() = 1 for all ax , which means s countloopy said lim If(2)| = If(c)|=1. 20 BEUsay Since If() | is continuous at c , then by definition 5.2.1, 1If(20) 1 - If(c)11 = 11-11=0