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We present a measurement of the mass dependence of the forward-backward charge asymmetry (AFB) for e+e- pairs produced via an intermediate Z/ γ * with mass Mee>40 GeV/c2. We study the constraints on the Z-quark couplings imposed by our measurement. We analyze an integrated luminosity of 72 pb-1 collected by the CDF-II detector in pp̅ collisions at √s =1.96 TeV at the Fermilab Tevatron. A comparison of the uncorrected AFB between data and standard model Monte Carlo gives good agreement with a chi2/DOF of 15.7/15. The couplings measurements are also consistent with standard model predictions.