Consider the continuity of the function.

f(x)=⎧⎩⎨⎪⎪x+1if x≤−2x2−5if−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.

This is a rational expression because the denominator contains a variable. this is a polynomial with 3 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 4 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 4 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 3 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 5 terms.