y=f(x) is a polynomial function passing through point (0, 1) and which increases in the intervals (1,2) and (3,[infinity]) and decreases in the intervals (−[infinity],1) and (2,3).
If f(1)=−8, then the range of f(x) is

(a) (3,[infinity])
(b) (−8,[infinity])
(c) (−7,[infinity])
(d) (−[infinity],6)