QUESTION 1 Determine whether the relation is a function 7 1

QUESTION 1

Determine whether the relation is a function.

{(-7, -1), (-3, -6), (-2, -7), (2, -2)}

Not a function

Function

QUESTION 2

Give the domain and range of the relation.

{(5, -6), (5, 5), (-7, 7), (3, -5), (-5, -8)}

A. domain = {3, -7, -5, 5}; range = {-5, 7, -8, 5, -6}

B. domain = {3, -4, -7, -5, 5}; range = {-5, 7, -8, 5, -6}

C. domain = {3, 14, -7, -5, 5}; range = {-5, 7, -8, 5, -6}

D. domain = {-5, 7, -8, 5, -6}; range = {3, 3, -7, -5, 5}

QUESTION 3

Give the domain and range of the relation.

{(6, -5), (3, 2), (4, 6), (-1, 3), (-4, 9)}

domain = {4, -1, 3, 6, -4}; range = {6, 3, 2, -5, 9}

domain = {2, 6, -5, -4, 9}; range = {4, 6, -1, 3, 3}

domain = {6, 3, 2, -5, 9}; range = {4, -1, 3, 6, -4}

domain = {4, 6, -1, 3, 3}; range = {2, 6, -5, -4, 9}

Solution

{(-7, -1), (-3, -6), (-2, -7), (2, -2)}

Now, let us check the order pairs given of the relation.

For the given order pairs, the elements of domain(x-coordinates of the order pairs) are : -7, -3, -2, 2

And for the given order pairs, the elements of range (y-coordinates of the order pairs) are :-1, -6 , -7, -2.

A relation is a function if each element in the domain is matched with exactly one element in the range.

From the sets of Domain {-7,-3,-2,2} and Range {-1,-6,-7,-2} we can clearly see that each element in the domain is matched with exactly one element in the range.

Therefore, given relation is a function.

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