Question

Let x={1,2,3,4,5} and y={u,v,w,x,y} and define h:x→y as follows:

a) h(1)=u,h(2)=v,h(3)=w,h(4)=x,h(5)=y
b) h(1)=y,h(2)=x,h(3)=w,h(4)=v,h(5)=u
c) h(1)=v,h(2)=w,h(3)=x,h(4)=y,h(5)=u
d) h(1)=w,h(2)=x,h(3)=y,h(4)=u,h(5)=v

Answer 1

This question discusses the definition of a function named h which maps elements from a set x to a set y, with each scenario providing a different mapping rule.

Step-by-step explanation:

The student is asking about the concept of a function in mathematics, specifically about defining a function h that maps a set x to a set y. The function is given by different rules in each of the four options provided. A function defines the relationship between two sets, where each element in the first set is paired with exactly one element in the second set. Here, we have four different scenarios where each element from set x (which contains the numbers {1, 2, 3, 4, 5}) is mapped to an element in set y (which contains the letters {u, v, w, x, y}), according to specific rules defined for function h.