. Sketch two possible graphs of a function f that is continuous for every real number cc, except a? = 2, at which point f is continuous from the left. What type of discontinuity is produced in this scenario? Explain your answer. . Give two possible examples of a function 3' that is not continuous at a: = 1, but if we redene f at 1 so that f(1) = 2, then f becomes continuous at a: = 1. . Determine whether the following function is continuous at a. = 4. Use the continuity checklist to justify your answers. If the function is not continuous, identify any points of discontinuity. 2:216 3:7E4 SE = 34 9( } {a 33:4 . Apollo graphed the following function using Desmos, as shown below, and claimed that the function $2+;r6 ag) = $2 9:c+14 is only discontinuous at the point a; = 7. (a) Is Apollo correct? (b) Do any other points of discontinuity exist, and if so explain why they are not shown on the graph