Which of the statement is true

Question

f(x) is continuous from the left of x=-2

f(x) is continuous a x=-1

f(x) is continuous from the right of x=-2

Answer 1

last statement is false, as the graph is not continuous at x=0 and to the right of x=-2 includes the point (0,1)

2nd statement is clearly true as x=-1 is the point (-1,-2) which has no discontinuity. the graph continues through that point without any break

1st statement is also true. to the left of x=-2 there is no discontinuity. although at x=-2 (-2,-3) the graph is discontinuous. But strictly to the left of that point there is no discontinuity anywhere in the graph

the open circular dots indicate a discontinuity