Let T be your family tree that includes your biological mother, your maternal grandmother, your maternal great-grandmother, and so on, and all of their female descendants. Determine which of the following define a function from T to T. (a) h1: T → T, where h1(x) is the mother of x. (b) h2: T → T, where h2(x) is x’s sister. (c) h3: T → T, where h3(x) is an aunt of x. (d) h4: T → T, where h4(x) is the eldest daughter of x’s maternal grandmother.

Let T be your family tree that includes your biological mother, your maternal grandmother, your maternal great-grandmother, and so on, and all of their female descendants.
Determine which of the following define a function from T to T.
(a) h1: T → T, where h1(x) is the mother of x.
(b) h2: T → T, where h2(x) is x’s sister.
(c) h3: T → T, where h3(x) is an aunt of x.
(d) h4: T → T, where h4(x) is the eldest daughter of x’s maternal grandmother.