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The common-emitter short-circuit current gain $\beta$ of a transistor

1. is a monotonically increasing function of the collector current $\mathrm{I}_{\mathrm{C}}$.
2. is a monotonically decreasing function of $\mathrm{I}_{\mathrm{C}}$
3. increases with $\mathrm{I}_{\mathrm{C}}$, for low $\mathrm{I}_{\mathrm{C}}$, reaches a maximum and then decreases with further increase in $\mathrm{I}_{\mathrm{C}}$
4. is not a function of $I_{C}$