Question

is this left continuous at x=2?from those intervals pleases answer the part of the question asking if left or right continuous and where

Answer 1

Not, the left graph is discontinuous in x=2, the kind of discontinuity is removable discontinuity. It is not continuous because in x=2 there us a abrupt change in the function value.

To determine if the function is left or right continuous you identify if the function in a jump discontionuity has the defined point on the left or on the right.

The function given in number 11 has a jump discontinuity at x=3, as the defined point is on the part of the graph on the left, you say the function is left continuous at x=3.

Answer: left continuous at endpoint x=3