Question

Which set of ordered pairs represents y as a function of x?

{(-1, 0), (4, 3), (-7, -3), (-1, -8)}
{(-1, 0), (4, 3), (-7, -3), (-1, -8)}

{(-9, 2), (0, 6), (1, -2), (-3, 6)}
{(-9, 2), (0, 6), (1, -2), (-3, 6)}

{(5, 4), (1, 3), (1, 1), (2, 4)}
{(5, 4), (1, 3), (1, 1), (2, 4)}

{(3, 2), (-4, -2), (-3, 1), (-4, 1)}

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which set of ordered pairs represents y as a function of x

(a) {(-1, 0), (4, 3), (-7, -3), (-1, -8)}

(b) {(-9, 2), (0, 6), (1, -2), (-3, 6)}

(c) {(5, 4), (1, 3), (1, 1), (2, 4)}

(d) {(3, 2), (-4, -2), (-3, 1), (-4, 1)}

CONCEPT TO BE IMPLEMENTED

FUNCTION

Let A and B are two non empty sets. A mapping f from A to B is a rule that assigns to each element x of A a definite element y in B

EVALUATION

CHECKING FOR OPTION (a)

Here the given set of ordered pairs is

{(-1, 0), (4, 3), (-7, -3), (-1, -8)}

Here by the above relation - 1 in domain set is related to two different elements 0 and - 8 of the co-domain set

Hence this not a function

CHECKING FOR OPTION (b)

Here the given set of ordered pairs is

{(-9, 2), (0, 6), (1, -2), (-3, 6)}

Here by the above relation every element in domain set is related to unique element of the co-domain set

Hence this is a function

CHECKING FOR OPTION (c)

Here the given set of ordered pairs is

{(5, 4), (1, 3), (1, 1), (2, 4)}

Here by the above relation 1 in domain set is related to two different elements 3 and 1 of the co-domain set

Hence this not a function

CHECKING FOR OPTION (d)

Here the given set of ordered pairs is

{(3, 2), (-4, -2), (-3, 1), (-4, 1)}

Here by the above relation - 4 in domain set is related to two different elements - 2 and 1 of the co-domain set

Hence this not a function

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