If the function generator has an offset control, you could use that to shift the AC output to swing within the gronund-and supply limits of the ADC.If you are looking only at AC signals, you could AC-couple the signal to the ADC input: Connect a 10,000-ohm resistor from supply to ADC input, and another 10,000-ohm resistor from ADC input to ground. This will bias the ADC input at half the supply voltage. Check the ADC input's input-current spec in the datasheet, to make sure that the input current will not shift the DC operating point excessively. Then connect a capacitor from the function-generator output to the ADC input. Choose enough capacitance so that the capacitor's reactance is small compared to 5000 ohms.