Must read at least 2 of these sources.
Veyne, P. Did the Greeks believe in their myths? An essay on the constitutive imagination
Calame C. “Greek Myth and Greek Religion”, in R. D. Woodard (ed.) The Cambridge
Companion to Greek Mythology (Cambridge: CUP, 2007), 259-285.
Bremmer J. N. Greek Religion (Oxford: OUP, 1994).