diff --git a/lib/matplotlib/axes/_axes.py b/lib/matplotlib/axes/_axes.py
index e32b734a455d..41a7b09f7a29 100644
--- a/lib/matplotlib/axes/_axes.py
+++ b/lib/matplotlib/axes/_axes.py
@@ -5847,6 +5847,7 @@ def pcolorfast(self, *args, **kwargs):
                                         norm=norm,
                                         alpha=alpha,
                                         **kwargs)
+                im.set_extent((xl, xr, yb, yt))
             self.add_image(im)
             ret = im
 
diff --git a/lib/matplotlib/tests/test_image.py b/lib/matplotlib/tests/test_image.py
index 0a16e97848f6..7f4f9920190e 100644
--- a/lib/matplotlib/tests/test_image.py
+++ b/lib/matplotlib/tests/test_image.py
@@ -561,6 +561,12 @@ def test_pcolorimage_setdata():
     assert im._A[0, 0] == im._Ax[0] == im._Ay[0] == 0, 'value changed'
 
 
+def test_pcolorimage_extent():
+    im = plt.hist2d([1, 2, 3], [3, 5, 6],
+                    bins=[[0, 3, 7], [1, 2, 3]])[-1]
+    assert im.get_extent() == (0, 7, 1, 3)
+
+
 def test_minimized_rasterized():
     # This ensures that the rasterized content in the colorbars is
     # only as thick as the colorbar, and doesn't extend to other parts