Looks like an adverbial phrase modifying 'able'.  I suppose one could make the case it modifies the linking verb 'became'.

Larry

Larry Beason
Associate Professor & Composition Director
Dept. of English, 240 HUMB
Univ. of South Alabama
Mobile AL 36688
(251) 460-7861
>>> Scott Woods <[log in to unmask]> 04/29/11 4:31 PM >>>
Dear List,

How would you characterize the function of the underlined infinitive phrase in 
the sentence below?  


    I suddenly became able to improve my basketball game without trying.

Thanks,

Scott Woods

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