Graham Alternative Investment Fund I 10-Q 2015 Q1 Quarterly report

Exhibit 32.1

CERTIFICATION

PURSUANT TO

SECTION 1350 OF CHAPTER 63 OF TITLE 18 OF THE UNITED STATES CODE

I, Brian Douglas, Chief Financial Officer of Graham Capital Management L.P. and I, Paul Sedlack, Principal Executive Officer of Graham Capital Management L.P., certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

1. The Quarterly Report on Form 10-Q of Graham Alternative Investment Fund I LLC Blended Strategies Portfolio (the “registrant”) for the period ended March 31, 2015 fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the registrant.

Date: May 14, 2015

/s/ Brian Douglas

Brian Douglas

Chief Financial Officer

Graham Capital Management, L.P.

/s/ Paul Sedlack

Paul Sedlack

Principal Executive Officer

Graham Capital Management, L.P.