Function as a Set of Ordered Pairs

Let $A=\{a,b,c,d,e\}$ and $B=\{0,1,2,3,4\}.$ Define $f$:$AB$ such that $f=\{(a,2),(b,1),(c,4),(d,0),(3,e)\}.$

$^---$ this should have said $(e,3)$

Question $32(1$ point$)$

Which of the following characteristics is necessary and sufficient for a function $f$ to have an inverse function $f^{-1}?$

bijective

inflective

injective

surjective