Determine the general formula for each compound and classify it as saturated or unsaturated.

• $\alpha$. C$_{4}$H$_{6}$: This compound fits the general formula C$_{n}$H$_{2n-2}$ (where $n=4$), which corresponds to an alkyne or a diene. These are unsaturated hydrocarbons.
• $\beta$. C$_{3}$H$_{6}$: This compound fits the general formula C$_{n}$H$_{2n}$ (where $n=3$), which corresponds to an alkene or a cycloalkane. These are unsaturated hydrocarbons (alkenes) or can undergo addition reactions (small cycloalkanes).
• $\gamma$. C$_{4}$H$_{8}$: This compound fits the general formula C$_{n}$H$_{2n}$ (where $n=4$), which corresponds to an alkene or a cycloalkane. These are unsaturated hydrocarbons (alkenes) or can undergo addition reactions (small cycloalkanes).

Unsaturated hydrocarbons (alkenes and alkynes) are characterized by the presence of double or triple bonds, which readily undergo addition reactions where atoms are added across the multiple bond. Saturated hydrocarbons (alkanes) primarily undergo substitution reactions where one atom or group is replaced by another.

• $\alpha$. C$_{4}$H$_{6}$: Will undergo an addition reaction.
• $\beta$. C$_{3}$H$_{6}$: Will undergo an addition reaction.
• $\gamma$. C$_{4}$H$_{8}$: Will undergo an addition reaction.

The compounds will undergo the following reactions:
$\alpha$. C$_{4}$H$_{6}$: Addition reaction
$\beta$. C$_{3}$H$_{6}$: Addition reaction
$\gamma$. C$_{4}$H$_{8}$: Addition reaction