Let X 1 3 5 6 7 and Y a b c d e Define h XSolutionDomain o

Let X = {1, 3, 5, 6, 7} and Y = {a, b, c, d, e}. Define h: X

Solution

Domain of h : {1 , 3 , 5 , 6 , 7}

Codomain of h : {a , b , c , d , e}

h(1) = a
h(3) = e
h(5) = c
h(6) = a
h(7) = d

a. What is the range (image) of h?
{a , b , c , d , e}

b. Is 3 an inverse image of a?
No, the inverse image of \'a\' is 6 or 1

c. Is 1 an inverse image of b?
No, there is no inverse image of b

d. What is the inverse image of c?
5

e. Represent h as a set of ordered pairs.
{(1,a) , (3,e) , (5,c) , (6,a) , (7,d)}