Consider the continuity of the function.

f(x)=⎧⎩⎨⎪⎪x+1       if x≤−2x2−5    if−2
Which statement best describes continuity of the function?

f(x) is discontinuous at x = 0 only.

f(x) is continuous on the interval (−∞,∞) .

f(x) is discontinuous at x=−2 and at x = 0.

f(x) is discontinuous at x=−2 only.