Question

Below is a graph of y=g'(x)
A. Is it possible, impossible, or certain that g is continuous at x=2? Explain
B. Is it possible, impossible or certain that g(2)=0
C. Possible, impossible or certain that g has a vertical asymptote at x=2
D. Possible, impossible or certain that g has a jump discontinuity at x=2
E. Sketch the graph y=g(x)

Answer 1

jump discontinuity.

Answer 2

but this is the graph of the derivative