Below is the graph of y = g'(x), (which looks like the following):

f(x) { 3 x<2}
x-3 x>2

Here are the questions:
Answer the following questions about the function g(x) .
A. Is is possible, impossible, or certain that g is continuous at x=2? Explain.
B. Is it possible, impossible, or certain that g(2)=0? Explain.
C. Is it possible, impossible, or certain that g has a vertical asymptote at x = 2? Explain.
D. Is it possible, impossible, or certain that g has a jump discontinuity at x = 2?
E. Is it possible, impossible, or certain that g has a removable discontinuity at x = 2?

My answers are the following:
A) impossible
B) impossible
C) ipossible
D)possible
E) certain

3 answers

The link to the graph is:
www.desmos.com/calculator/mrmzffnwao

looks good

All my answers are correct?