diff --git a/resources/function_help/json/scale_exponential b/resources/function_help/json/scale_exponential
index b201e3d4f223..44968e926f3e 100644
--- a/resources/function_help/json/scale_exponential
+++ b/resources/function_help/json/scale_exponential
@@ -23,12 +23,12 @@
     "description": "A positive value (greater than 0), which dictates the way input values are mapped to the output range. Large exponents will cause the output values to 'ease in', starting slowly before accelerating as the input values approach the domain maximum. Smaller exponents (less than 1) will cause output values to 'ease out', where the mapping starts quickly but slows as it approaches the domain maximum."
   }],
   "examples": [{
-    "expression": "scale_exp(5,0,10,0,100,2)",
-    "returns": "25",
+    "expression": "scale_exponential(5,0,10,0,100,2)",
+    "returns": "3.030",
     "note": "easing in, using an exponent of 2"
   }, {
-    "expression": "scale_exp(3,0,10,0,100,0.5)",
-    "returns": "54.772",
+    "expression": "scale_exponential(3,0,10,0,100,0.5)",
+    "returns": "87.585",
     "note": "easing out, using an exponent of 0.5"
   }],
   "tags": ["exponential", "curve", "ease", "transforms", "output", "given", "input", "domain", "range", "specified", "values"]
diff --git a/tests/src/core/testqgsexpression.cpp b/tests/src/core/testqgsexpression.cpp
index 16108d34b1c2..c900e9ad0a27 100644
--- a/tests/src/core/testqgsexpression.cpp
+++ b/tests/src/core/testqgsexpression.cpp
@@ -1002,6 +1002,9 @@ class TestQgsExpression: public QObject
       QTest::newRow( "scale_linear(10,0,10,100,200)" ) << "scale_linear(10,0,10,100,200)" << false << QVariant( 200. );
       QTest::newRow( "scale_linear(-1,0,10,100,200)" ) << "scale_linear(-1,0,10,100,200)" << false << QVariant( 100. );
       QTest::newRow( "scale_linear(11,0,10,100,200)" ) << "scale_linear(11,0,10,100,200)" << false << QVariant( 200. );
+      QTest::newRow( "scale_linear(5,0,10,0,100)" ) << "scale_linear(5,0,10,0,100)" << false << QVariant( 50. );
+      QTest::newRow( "scale_linear(0.2,0,1,0,360)" ) << "scale_linear(0.2,0,1,0,360)" << false << QVariant( 72. );
+      QTest::newRow( "scale_linear(1500,1000,10000,9,20)" ) << "scale_linear(1500,1000,10000,9,20)" << false << QVariant( 9.61111111111111 );
 
       // previously had name scale_exp, but renamed to scale_polynomial as it uses polynomial interpolation formula
       // see https://github.com/qgis/QGIS/pull/53164 for more details
@@ -1011,6 +1014,8 @@ class TestQgsExpression: public QObject
       QTest::newRow( "scale_polynomial(10,0,10,100,200,0.5)" ) << "scale_polynomial(10,0,10,100,200,0.5)" << false << QVariant( 200. );
       QTest::newRow( "scale_polynomial(-1,0,10,100,200,0.5)" ) << "scale_polynomial(-1,0,10,100,200,0.5)" << false << QVariant( 100. );
       QTest::newRow( "scale_polynomial(4,0,9,0,90,0.5)" ) << "scale_polynomial(4,0,9,0,90,0.5)" << false << QVariant( 60. );
+      QTest::newRow( "scale_polynomial(5,0,10,0,100,2)" ) << "scale_polynomial(5,0,10,0,100,2)" << false << QVariant( 25. );
+      QTest::newRow( "scale_polynomial(3,0,10,0,100,0.5)" ) << "scale_polynomial(3,0,10,0,100,0.5)" << false << QVariant( 54.77225575051661 );
       // this is an alias for scale_polynomial to preserve backward compatibility
       QTest::newRow( "scale_exp(0.5,0,1,0,1,2)" ) << "scale_exp(0.5,0,1,0,1,2)" << false << QVariant( 0.25 );
       QTest::newRow( "scale_exp(0,0,10,100,200,2)" ) << "scale_exp(0,0,10,100,200,2)" << false << QVariant( 100. );
@@ -1025,6 +1030,8 @@ class TestQgsExpression: public QObject
       QTest::newRow( "scale_exponential(10,0,10,100,200,0.5)" ) << "scale_exponential(10,0,10,100,200,0.5)" << false << QVariant( 200. );
       QTest::newRow( "scale_exponential(-1,0,10,100,200,0.5)" ) << "scale_exponential(-1,0,10,100,200,0.5)" << false << QVariant( 100. );
       QTest::newRow( "scale_exponential(4,0,9,0,90,0.5)" ) << "scale_exponential(4,0,9,0,90,0.5)" << false << QVariant( 84.5401174168 );
+      QTest::newRow( "scale_exponential(5,0,10,0,100,2)" ) << "scale_exponential(5,0,10,0,100,2)" << false << QVariant( 3.0303030303030303 );
+      QTest::newRow( "scale_exponential(3,0,10,0,100,0.5)" ) << "scale_exponential(3,0,10,0,100,0.5)" << false << QVariant( 87.58553274682306 );
 
       // cast functions
       QTest::newRow( "double to int" ) << "toint(3.2)" << false << QVariant( 3 );