The following questions concern one-to-one and onto functions.
a) Let A = {1, 2, 3, 4, 5}, and B = {0, 3, 5, 7}. Can you find a one-to-one function from A to B? Can you find an onto function from A to B? Explain your answers.
b) Let A = {x ∣ x is a vowel }, and let B = {x ∣ x is a letter in the word "little" }. Can you find a one-to-one function from A to B? Can you find an onto function from A to B? Explain your answers.
c) Let A = {x ∈ Z ∣ x is a multiple of 2}, and let B = {x ∈ Z ∣ x is a multiple of 4}. Can you find a one-to-one function from A to B? Can you find an onto function from A to B? Explain your answers
