Could someone please check my work

Question 2 Please state all definitions and theorems that you will need: Prove: 1. Let f: R - R and define [f| : R -+ R by IfI(x) = If(x)| . Suppose that f is continuous at C E D . Prove that | fl is continuous at c . 2. If |f| is continuous at c , does it follow that f is continuous at c ? Justify your answer. part 1 . Given f is continuous at C, which reams VEDO 38 20 5. T . | x - 0/ / f ( x )- Flo/E Q Prove (f) is continous of c, which means Proof : VE SO 38 3 0 S. T . | X - C / o. whenever / x- c / O 3 8 3 0 5. 1. / x - c / / 1 f ( x ) / - ff (c)| |