diff --git a/python/core/auto_generated/raster/qgsrasterrange.sip.in b/python/core/auto_generated/raster/qgsrasterrange.sip.in
index d47380ceea5..cad71f4850f 100644
--- a/python/core/auto_generated/raster/qgsrasterrange.sip.in
+++ b/python/core/auto_generated/raster/qgsrasterrange.sip.in
@@ -97,6 +97,13 @@ in the range.
 
     bool operator==( QgsRasterRange o ) const;
 
+    bool contains( double value ) const;
+%Docstring
+Returns true if this range contains the specified ``value``.
+
+.. versionadded:: 3.2
+%End
+
     static bool contains( double value, const QgsRasterRangeList &rangeList );
 %Docstring
 Tests if a ``value`` is within the list of ranges
diff --git a/src/core/raster/qgsrasterrange.cpp b/src/core/raster/qgsrasterrange.cpp
index c671f2d43f2..f7339d46a08 100644
--- a/src/core/raster/qgsrasterrange.cpp
+++ b/src/core/raster/qgsrasterrange.cpp
@@ -24,13 +24,22 @@ QgsRasterRange::QgsRasterRange( double min, double max, BoundsType bounds )
 {
 }
 
+bool QgsRasterRange::contains( double value ) const
+{
+  return ( value > mMin
+           || ( !std::isnan( mMin ) && qgsDoubleNear( value, mMin ) && ( mType == IncludeMinAndMax || mType == IncludeMin ) )
+           || std::isnan( mMin ) )
+         &&
+         ( value < mMax
+           || ( !std::isnan( mMax ) && qgsDoubleNear( value, mMax ) && ( mType == IncludeMinAndMax || mType == IncludeMax ) )
+           || std::isnan( mMax ) );
+}
+
 bool QgsRasterRange::contains( double value, const QgsRasterRangeList &rangeList )
 {
-  Q_FOREACH ( QgsRasterRange range, rangeList )
+  for ( QgsRasterRange range : rangeList )
   {
-    if ( ( value >= range.mMin && value <= range.mMax ) ||
-         qgsDoubleNear( value, range.mMin ) ||
-         qgsDoubleNear( value, range.mMax ) )
+    if ( range.contains( value ) )
     {
       return true;
     }
diff --git a/src/core/raster/qgsrasterrange.h b/src/core/raster/qgsrasterrange.h
index 92cd2a698c4..65b5291feab 100644
--- a/src/core/raster/qgsrasterrange.h
+++ b/src/core/raster/qgsrasterrange.h
@@ -107,6 +107,12 @@ class CORE_EXPORT QgsRasterRange
              && mType == o.mType;
     }
 
+    /**
+     * Returns true if this range contains the specified \a value.
+     * \since QGIS 3.2
+     */
+    bool contains( double value ) const;
+
     /**
      * \brief Tests if a \a value is within the list of ranges
      *  \param value value
diff --git a/tests/src/python/test_qgsrasterrange.py b/tests/src/python/test_qgsrasterrange.py
index f3dc2063a92..1cf7c131cf6 100644
--- a/tests/src/python/test_qgsrasterrange.py
+++ b/tests/src/python/test_qgsrasterrange.py
@@ -62,6 +62,53 @@ class TestQgsRasterRange(unittest.TestCase):
         range2.setMax(5)
         self.assertEqual(range, range2)
 
+    def testContains(self):
+        range = QgsRasterRange(1, 5)
+        self.assertTrue(range.contains(1))
+        self.assertTrue(range.contains(5))
+        self.assertTrue(range.contains(4))
+        self.assertTrue(range.contains(1.00001))
+        self.assertTrue(range.contains(4.99999))
+        self.assertFalse(range.contains(0.99999))
+        self.assertFalse(range.contains(5.00001))
+
+        # with nan min/maxs
+        range = QgsRasterRange()
+        self.assertTrue(range.contains(1))
+        self.assertTrue(range.contains(-909999999))
+        self.assertTrue(range.contains(999999999))
+        range.setMin(5)
+        self.assertFalse(range.contains(0))
+        self.assertTrue(range.contains(5))
+        self.assertTrue(range.contains(10000000))
+
+        range = QgsRasterRange()
+        range.setMax(5)
+        self.assertFalse(range.contains(6))
+        self.assertTrue(range.contains(5))
+        self.assertTrue(range.contains(-99999))
+
+        range = QgsRasterRange(1, 5, QgsRasterRange.IncludeMax)
+        self.assertFalse(range.contains(0))
+        self.assertFalse(range.contains(1))
+        self.assertTrue(range.contains(2))
+        self.assertTrue(range.contains(5))
+        self.assertFalse(range.contains(6))
+
+        range = QgsRasterRange(1, 5, QgsRasterRange.IncludeMin)
+        self.assertFalse(range.contains(0))
+        self.assertTrue(range.contains(1))
+        self.assertTrue(range.contains(2))
+        self.assertFalse(range.contains(5))
+        self.assertFalse(range.contains(6))
+
+        range = QgsRasterRange(1, 5, QgsRasterRange.Exclusive)
+        self.assertFalse(range.contains(0))
+        self.assertFalse(range.contains(1))
+        self.assertTrue(range.contains(2))
+        self.assertFalse(range.contains(5))
+        self.assertFalse(range.contains(6))
+
 
 if __name__ == '__main__':
     unittest.main()