#1**+2 **

First one

The function is continuous until x = 0.......we have a discontinuity where the function's y value approaches 1 from the left side ...then, the point (0,0) is on the graph....and then we have another discontinuity where the function approaches -1 from the right at x = 0....from here, the function is continuous to infinity

Here's a graph : https://www.desmos.com/calculator/gliwclwbrn

Second one

This is easier......we have the line y = x + 1....it is defined at all x values except at x = 2...where the point (2, 1) appears on the graph.....thus, the first function approaches 3 from the left and right as x approaches 2 but it discontinous at x = 2

Here's the graph : https://www.desmos.com/calculator/x3b14cad9o

CPhill
Feb 22, 2018