This work contains an Ambrosetti-Prodi alternative for functional problems composed of a fully higher-order differential equation with two types of functional boundary conditions. The discussion of the existence and nonexistence of solutions is obtained in a more general case, and the multiplicity of solutions is done with a particular case of boundary conditions. The main arguments are based on the lower and upper solution techniques, together with the Leray-Schauder topological degree theory. Remark that the existence of a bifurcation point does not require any speed growth assumption as it was usual in the literature. An example shows how this method can be applied to estimate the bifurcation values of the parameter.