diff --git a/src/ol/source/GeoTIFF.js b/src/ol/source/GeoTIFF.js
index 5888d52075..07ec7e6b91 100644
--- a/src/ol/source/GeoTIFF.js
+++ b/src/ol/source/GeoTIFF.js
@@ -667,12 +667,11 @@ class GeoTIFFSource extends DataTile {
       }
     }
 
-    const additionalBands = this.addAlpha_ ? 1 : 0;
-    this.bandCount =
-      samplesPerPixel.reduce((accumulator, value) => {
-        accumulator += value;
-        return accumulator;
-      }, 0) + additionalBands;
+    let bandCount = this.addAlpha_ ? 1 : 0;
+    for (let sourceIndex = 0; sourceIndex < sourceCount; ++sourceIndex) {
+      bandCount += samplesPerPixel[sourceIndex];
+    }
+    this.bandCount = bandCount;
 
     const tileGrid = new TileGrid({
       extent: extent,
@@ -687,12 +686,19 @@ class GeoTIFFSource extends DataTile {
 
     this.setLoader(this.loadTile_.bind(this));
     this.setState('ready');
+
+    let zoom = 0;
+    if (resolutions.length === 1) {
+      resolutions = [resolutions[0] * 2, resolutions[0]];
+      zoom = 1;
+    }
     this.viewResolver({
+      showFullExtent: true,
       projection: this.projection,
       resolutions: resolutions,
       center: toUserCoordinate(getCenter(extent), this.projection),
       extent: toUserExtent(extent, this.projection),
-      zoom: 0,
+      zoom: zoom,
     });
   }
 
diff --git a/test/browser/spec/ol/source/GeoTIFF.test.js b/test/browser/spec/ol/source/GeoTIFF.test.js
index 45e780a1df..8db17f449a 100644
--- a/test/browser/spec/ol/source/GeoTIFF.test.js
+++ b/test/browser/spec/ol/source/GeoTIFF.test.js
@@ -140,7 +140,8 @@ describe('ol/source/GeoTIFF', function () {
         expect(projection.getUnits()).to.be('degrees');
         expect(viewOptions.extent).to.eql([-180, -90, 180, 90]);
         expect(viewOptions.center).to.eql([0, 0]);
-        expect(viewOptions.resolutions).to.eql([0.703125]);
+        expect(viewOptions.resolutions).to.eql([1.40625, 0.703125]);
+        expect(viewOptions.showFullExtent).to.be(true);
         done();
       });
     });
diff --git a/test/rendering/cases/cog-f32-nodata-explicit-nan/expected.png b/test/rendering/cases/cog-f32-nodata-explicit-nan/expected.png
index 5da98cb39e..4f07a908f1 100644
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diff --git a/test/rendering/cases/cog-f32-nodata/expected.png b/test/rendering/cases/cog-f32-nodata/expected.png
index 064d844abd..51a852bcdf 100644
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diff --git a/test/rendering/cases/cog-i16-nodata/expected.png b/test/rendering/cases/cog-i16-nodata/expected.png
index 064d844abd..51a852bcdf 100644
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diff --git a/test/rendering/cases/cog-masked/expected.png b/test/rendering/cases/cog-masked/expected.png
index 8a5ec720c1..9abc445dc1 100644
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diff --git a/test/rendering/cases/webgl-tile-aspect-ratio/expected.png b/test/rendering/cases/webgl-tile-aspect-ratio/expected.png
index 10f0cbda6d..8f1f1522b5 100644
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