Discretionary (adjective)

1. Left to personal choice or judgment.
2. Having the freedom to act or decide according to one's own discretion.
3. Not compulsory or determined by rule.

Origin:

Late middle english from old french discretionnaire, from latin discretionarius "having power to decide", from discretus "separated, distinct".

Examples:

1. The use of discretionary funds for community projects is up to the discretion of the mayor.
2. The judge has discretionary power to impose a lesser sentence in some cases.
3. Employees were given discretionary time off during the holidays.
4. The manager has the discretionary authority to approve or reject the proposal.
5. The discretionary spending in the budget was limited by the government.