diff --git a/packages/flutter/lib/src/animation/curves.dart b/packages/flutter/lib/src/animation/curves.dart
index 3613736e01eca..1b8dc5dcf3128 100644
--- a/packages/flutter/lib/src/animation/curves.dart
+++ b/packages/flutter/lib/src/animation/curves.dart
@@ -401,6 +401,15 @@ class Cubic extends Curve {
 
   @override
   double transformInternal(double t) {
+    if (t.isNaN) {
+      throw ArgumentError.value(t, 't', 'must not be NaN');
+    }
+    if (t <= 0.0) {
+      return 0.0;
+    }
+    if (t >= 1.0) {
+      return 1.0;
+    }
     var start = 0.0;
     var end = 1.0;
     while (true) {
diff --git a/packages/flutter/test/animation/curves_test.dart b/packages/flutter/test/animation/curves_test.dart
index 92a7011c4a6af..e83e1d43235d0 100644
--- a/packages/flutter/test/animation/curves_test.dart
+++ b/packages/flutter/test/animation/curves_test.dart
@@ -180,6 +180,16 @@ void main() {
     expect(test.transform(0.166666), equals(0.4));
   });
 
+  // Regression test for https://github.com/flutter/flutter/issues/171364.
+  test('Cubic transformInternal clamps values outside the unit interval', () {
+    expect(Curves.easeOut.transformInternal(2.0), 1.0);
+    expect(Curves.easeOut.transformInternal(-1.0), 0.0);
+  });
+
+  test('Cubic transformInternal throws for NaN', () {
+    expect(() => Curves.easeOut.transformInternal(double.nan), throwsArgumentError);
+  });
+
   test('Invalid transform parameter should assert', () {
     expect(() => const SawTooth(2).transform(-0.0001), throwsAssertionError);
     expect(() => const SawTooth(2).transform(1.0001), throwsAssertionError);