Mathematics Homework Help

Need help with my Discrete Math question – I’m studying for my class.

1. Consider the function h : X → Y defined by h(x) = x
2 − 2x.

(a) Show that if X = Y = R, then h is neither injective nor surjective.

(b) Let X = R, find Y ⊆ R such that h is surjective.

(c) Consider Y = Im(f), find X ⊆ R so that h is bijective.