How to make input parameters as optional in the function definition

I have created a function for a data service which is at the Normalized layer and has 3 input parameters.
This function is called at the Integration layer in which we have to pass only one parameter. But for the remaning 2 parameters it is throwing an error as we cannot pass those parameters.
Is it possible that we can pass less number of parameters in the higher layer.
I had also made those parameters as optional in the function definition(by applying '?' while defining the arguments-e.g. $x as xs:string?), but error was thrown while generating the query plan.
I have attached a Demo project, in which i have defined a function at the normalized layer and this function is been called at the integration layer.
Thanks,
Kinjal

Thanks mreiche for the reply
But the problem is that while writing
function myfunction( arg1 as xs:string, $arg2 as xs:string?) { ... }
in function definition in the normalized layer, the query plan is throwing following error:-
com.bea.ld.QueryException: Cannot generate XQuery for the function {ld:DemoProject/Normalized/TestGeo}getGeo:3
at weblogic.rjvm.BasicOutboundRequest.sendReceive(BasicOutboundRequest.java:108) at weblogic.rmi.cluster.ReplicaAwareRemoteRef.invoke(ReplicaAwareRemoteRef.java:290)
at weblogic.rmi.cluster.ReplicaAwareRemoteRef.invoke(ReplicaAwareRemoteRef.java:248) at com.bea.ld.Server_ydm4ie_EOImpl_816_WLStub.executeFunction(Unknown Source) at workshop.liquiddata.xds.views.queryplan.QueryPlanPanel.compileFunction(QueryPlanPanel.java:583) at workshop.liquiddata.xds.views.queryplan.QueryPlanPanel.access$900(QueryPlanPanel.java:39) at workshop.liquiddata.xds.views.queryplan.QueryPlanPanel$5.run(QueryPlanPanel.java:469) at java.lang.Thread.run(Thread.java:534)
Caused by: com.bea.ld.QueryException: Cannot generate XQuery for the function {ld:DemoProject/Normalized/TestGeo}getGeo:3 at com.bea.ld.EJBRequestHandler.invokeFunction(EJBRequestHandler.java:720) at com.bea.ld.EJBRequestHandler.executeFunction(EJBRequestHandler.java:339) at com.bea.ld.ServerBean.executeFunction(ServerBean.java:95) at com.bea.ld.Server_ydm4ie_EOImpl.executeFunction(Server_ydm4ie_EOImpl.java:312)
at com.bea.ld.Server_ydm4ie_EOImpl_WLSkel.invoke(Unknown Source)
at weblogic.rmi.internal.BasicServerRef.invoke(BasicServerRef.java:491)
at weblogic.rmi.cluster.ReplicaAwareServerRef.invoke(ReplicaAwareServerRef.java:120)
at weblogic.rmi.internal.BasicServerRef$1.run(BasicServerRef.java:434)
at weblogic.security.acl.internal.AuthenticatedSubject.doAs(AuthenticatedSubject.java:363)
at weblogic.security.service.SecurityManager.runAs(SecurityManager.java:147)
at weblogic.rmi.internal.BasicServerRef.handleRequest(BasicServerRef.java:429)
at weblogic.rmi.internal.BasicExecuteRequest.execute(BasicExecuteRequest.java:35)
at weblogic.kernel.ExecuteThread.execute(ExecuteThread.java:224)
at weblogic.kernel.ExecuteThread.run(ExecuteThread.java:183)
Caused by: com.bea.ld.server.FunctionCallQueryBuilder$QueryBuilderException: The following parameter type is not supported: {http://www.w3.org/2001/XMLSchema}string?
at com.bea.ld.server.FunctionCallQueryBuilder.addParameter(FunctionCallQueryBuilder.java:257)
at com.bea.ld.server.FunctionCallQueryBuilder.buildQuery(FunctionCallQueryBuilder.java:99)
at com.bea.ld.EJBRequestHandler.invokeFunction(EJBRequestHandler.java:716)
But no error is thrown when I call this function at the Integration layer,using
for $f in mfunction( 'test', () )
and the output which i get is as expected.

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