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## Sagot :

1.

**Identify the elements of the relation [tex]\( G \)[/tex]:**

[tex]\[ G = \{(3,-2), (-4,-4), (-2,0), (-9,5)\} \][/tex]

2.

**Extract the domain:**

The domain of a relation is the set of all first elements (x-coordinates) of the ordered pairs. From the given relation [tex]\( G \)[/tex], we can list the first elements:

- For the pair [tex]\( (3, -2) \)[/tex], the first element is [tex]\( 3 \)[/tex].

- For the pair [tex]\( (-4, -4) \)[/tex], the first element is [tex]\( -4 \)[/tex].

- For the pair [tex]\( (-2, 0) \)[/tex], the first element is [tex]\( -2 \)[/tex].

- For the pair [tex]\( (-9, 5) \)[/tex], the first element is [tex]\( -9 \)[/tex].

Therefore, the domain is the set of all these first elements. In set notation, this is:

[tex]\[ \text{Domain} = \{ 3, -4, -2, -9 \} \][/tex]

3.

**Extract the range:**

The range of a relation is the set of all second elements (y-coordinates) of the ordered pairs. From the given relation [tex]\( G \)[/tex], we can list the second elements:

- For the pair [tex]\( (3, -2) \)[/tex], the second element is [tex]\( -2 \)[/tex].

- For the pair [tex]\( (-4, -4) \)[/tex], the second element is [tex]\( -4 \)[/tex].

- For the pair [tex]\( (-2, 0) \)[/tex], the second element is [tex]\( 0 \)[/tex].

- For the pair [tex]\( (-9, 5) \)[/tex], the second element is [tex]\( 5 \)[/tex].

Therefore, the range is the set of all these second elements. In set notation, this is:

[tex]\[ \text{Range} = \{ 0, -4, 5, -2 \} \][/tex]

Hence, the domain and range of the relation [tex]\( G \)[/tex] are:

[tex]\[ \text{Domain} = \{ 3, -4, -2, -9 \} \][/tex]

[tex]\[ \text{Range} = \{ 0, -4, 5, -2 \} \][/tex]