A transcritical bifurcation of the function occurs when increasing the parameter causes the graph of to intersect the line . See Example 2.30 in . Intersections with the line correspond to fixed points for the map, which are plotted in the figure at the top right; solid lines represent stable fixed points and dashed lines represent unstable fixed points. Eigenvalues inside the unit circle correspond to stable fixed points; eigenvalues outside to unstable fixed points. The eigenvalues for the fixed points at particular values of are shown at the bottom of the figure.