diff --git a/sqlparser/lib/src/analysis/context.dart b/sqlparser/lib/src/analysis/context.dart
index a6fbaf19..6ff7dcb1 100644
--- a/sqlparser/lib/src/analysis/context.dart
+++ b/sqlparser/lib/src/analysis/context.dart
@@ -12,15 +12,5 @@ class AnalysisContext {
     errors.add(error);
   }
 
-  ResolveResult typeOf(Typeable t) {
-    if (t is Column) {
-      return types.resolveColumn(t);
-    } else if (t is Variable) {
-      return types.inferType(t);
-    } else if (t is Expression) {
-      return types.resolveExpression(t);
-    }
-
-    throw StateError('Unknown typeable $t');
-  }
+  ResolveResult typeOf(Typeable t) => types.resolveOrInfer(t);
 }
diff --git a/sqlparser/lib/src/analysis/types/resolver.dart b/sqlparser/lib/src/analysis/types/resolver.dart
index 873de405..eccefdfc 100644
--- a/sqlparser/lib/src/analysis/types/resolver.dart
+++ b/sqlparser/lib/src/analysis/types/resolver.dart
@@ -29,6 +29,28 @@ class TypeResolver {
     return calculated;
   }
 
+  ResolveResult resolveOrInfer(Typeable t) {
+    if (t is Column) {
+      return resolveColumn(t);
+    } else if (t is Variable) {
+      return inferType(t);
+    } else if (t is Expression) {
+      return resolveExpression(t);
+    }
+
+    throw StateError('Unknown typeable $t');
+  }
+
+  ResolveResult justResolve(Typeable t) {
+    if (t is Column) {
+      return resolveColumn(t);
+    } else if (t is Expression) {
+      return resolveExpression(t);
+    }
+
+    throw StateError('Unknown typeable $t');
+  }
+
   ResolveResult resolveColumn(Column column) {
     return _cache((column) {
       if (column is TableColumn) {
@@ -97,8 +119,109 @@ class TypeResolver {
   }
 
   ResolveResult resolveFunctionCall(FunctionExpression call) {
-    // todo
-    return const ResolveResult.unknown();
+    return _cache((FunctionExpression call) {
+      List<Typeable> parameters;
+      final sqlParameters = call.parameters;
+      if (sqlParameters is ExprFunctionParameters) {
+        parameters = sqlParameters.parameters;
+      } else if (sqlParameters is StarFunctionParameter) {
+        parameters = call.scope.availableColumns;
+      }
+
+      final firstNullable = justResolve(parameters.first).nullable;
+      final anyNullable = parameters.map(justResolve).any((r) => r.nullable);
+
+      switch (call.name.toLowerCase()) {
+        case 'round':
+          // if there is only one param, returns an int. otherwise real
+          if (parameters.length == 1) {
+            return ResolveResult(
+                ResolvedType(type: BasicType.int, nullable: firstNullable));
+          } else {
+            return ResolveResult(
+                ResolvedType(type: BasicType.real, nullable: anyNullable));
+          }
+          break;
+        case 'sum':
+          final firstType = justResolve(parameters.first);
+          if (firstType.type?.type == BasicType.int) {
+            return firstType;
+          } else {
+            return ResolveResult(ResolvedType(
+                type: BasicType.real, nullable: firstType.nullable));
+          }
+          break; // can't happen, though
+        case 'lower':
+        case 'ltrim':
+        case 'printf':
+        case 'replace':
+        case 'rtrim':
+        case 'substr':
+        case 'trim':
+        case 'upper':
+        case 'group_concat':
+          return ResolveResult(
+              ResolvedType(type: BasicType.text, nullable: firstNullable));
+        case 'date':
+        case 'time':
+        case 'datetime':
+        case 'julianday':
+        case 'strftime':
+        case 'char':
+        case 'hex':
+        case 'quote':
+        case 'soundex':
+        case 'sqlite_compileoption_set':
+        case 'sqlite_version':
+        case 'typeof':
+          return const ResolveResult(ResolvedType(type: BasicType.text));
+        case 'changes':
+        case 'last_insert_rowid':
+        case 'random':
+        case 'sqlite_compileoption_used':
+        case 'total_changes':
+        case 'count':
+          return const ResolveResult(ResolvedType(type: BasicType.int));
+        case 'instr':
+        case 'length':
+        case 'unicode':
+          return ResolveResult(
+              ResolvedType(type: BasicType.int, nullable: anyNullable));
+        case 'randomblob':
+        case 'zeroblob':
+          return const ResolveResult(ResolvedType(type: BasicType.blob));
+        case 'total':
+        case 'avg':
+          return const ResolveResult(ResolvedType(type: BasicType.real));
+        case 'abs':
+        case 'likelihood':
+        case 'likely':
+        case 'unlikely':
+          return justResolve(parameters.first);
+        case 'coalesce':
+        case 'ifnull':
+          return ResolveResult(_encapsulate(parameters,
+              [BasicType.int, BasicType.real, BasicType.text, BasicType.blob]));
+        case 'nullif':
+          return justResolve(parameters.first).withNullable(true);
+        case 'max':
+          return ResolveResult(_encapsulate(parameters, [
+            BasicType.int,
+            BasicType.real,
+            BasicType.text,
+            BasicType.blob
+          ])).withNullable(true);
+        case 'min':
+          return ResolveResult(_encapsulate(parameters, [
+            BasicType.blob,
+            BasicType.text,
+            BasicType.int,
+            BasicType.real
+          ])).withNullable(true);
+      }
+
+      throw StateError('Unknown function: ${call.name}');
+    }, call);
   }
 
   ResolveResult inferType(Expression e) {
@@ -126,6 +249,8 @@ class TypeResolver {
       return resolveExpression(relevant as Expression);
     } else if (parent is Parentheses || parent is UnaryExpression) {
       return const ResolveResult.needsContext();
+    } else if (parent is FunctionExpression) {
+      return resolveFunctionCall(parent);
     }
 
     throw StateError('Cannot infer argument type: $parent');
@@ -134,9 +259,9 @@ class TypeResolver {
   /// Returns the type of an expression in [expressions] that has the highest
   /// order in [types].
   ResolvedType _encapsulate(
-      Iterable<Expression> expressions, List<BasicType> types) {
+      Iterable<Typeable> expressions, List<BasicType> types) {
     final argTypes = expressions
-        .map((expr) => resolveExpression(expr).type)
+        .map((expr) => justResolve(expr).type)
         .where((t) => t != null);
     final type = types.lastWhere((t) => argTypes.any((arg) => arg.type == t));
     final notNull = argTypes.any((t) => !t.nullable);
@@ -162,6 +287,18 @@ class ResolveResult {
         needsContext = false,
         unknown = true;
 
+  bool get nullable => type?.nullable ?? true;
+
+  ResolveResult withNullable(bool nullable) {
+    if (type != null) {
+      return ResolveResult(type.withNullable(nullable));
+    } else if (needsContext != null) {
+      return const ResolveResult.needsContext();
+    } else {
+      return const ResolveResult.unknown();
+    }
+  }
+
   @override
   bool operator ==(other) {
     return identical(this, other) ||
diff --git a/sqlparser/lib/src/ast/statements/select.dart b/sqlparser/lib/src/ast/statements/select.dart
index 5854076f..d6e89bb4 100644
--- a/sqlparser/lib/src/ast/statements/select.dart
+++ b/sqlparser/lib/src/ast/statements/select.dart
@@ -36,6 +36,7 @@ class SelectStatement extends Statement with ResultSet {
       if (where != null) where,
       ...columns,
       if (from != null) ...from,
+      if (groupBy != null) groupBy,
       if (limit != null) limit,
       if (orderBy != null) orderBy,
     ];
diff --git a/sqlparser/test/analysis/type_resolver_test.dart b/sqlparser/test/analysis/type_resolver_test.dart
index eb0f2fb5..9916ba40 100644
--- a/sqlparser/test/analysis/type_resolver_test.dart
+++ b/sqlparser/test/analysis/type_resolver_test.dart
@@ -10,6 +10,8 @@ Map<String, ResolveResult> _types = {
       const ResolveResult(ResolvedType(type: BasicType.text)),
   'SELECT * FROM demo LIMIT ?':
       const ResolveResult(ResolvedType(type: BasicType.int)),
+  'SELECT 1 FROM demo GROUP BY id HAVING COUNT(*) = ?':
+      const ResolveResult(ResolvedType(type: BasicType.int)),
 };
 
 void main() {