<u>The answer is . </u><u>one-to-one.</u>
<u></u>
<h3>What is the domain of a set?</h3>
- The domain is the set of all first elements of ordered pairs (x-coordinates).
- The range is the set of all second elements of ordered pairs (y-coordinates).
- Only the elements "used" by the relation or function constitute the range.
- Domain: all x-values that are to be used (independent values).
(a) The function is onto because a, b, c, and d are members of its codomain. All points are converted into various points, making it a one-to-one relationship. The response is that it is one-to-one and onto ( A and C).
(b) It is onto because a, b, c, and d are members of the function's codomain. All points are converted into various points, making it a one-to-one relationship. The response is that it is one-to-one and onto (A and B).
(C) The element b is not onto since it is not a part of the function's codomain. All points are converted into various points, making it a one-to-one relationship. One-to-one is the right response.
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<u>The complete question is -</u>
Determine if each of the following functions from {a,b,c,d} to itself is one-to-one and/or onto.
Check ALL correct answers.
(a) f(a)=d,f(b)=a,f(c)=c,f(d)=b
A. onto.
B. neither one-to-one nor onto.
C. one-to-one.
f(a)=b,f(b)=a,f(c)=c,f(d)=d
A. one-to-one.
B. onto.
C. neither one-to-one nor onto.
f(a)=c,f(b)=d,f(c)=a
A. one-to-one.
B. onto.
C. neither one-to-one nor onto.
