Question

The list of ordered pairs below represents a function. {(−5,−3),(0,−11),(−2,−8),(3,2)} Find the domain of the function.

a. {(1,−4),(−3,8),(−5,−3),(−3,7)}
b. {(−1,7),(8,−1),(6,12),(−3,12)}
c. {(−2,10),(−4,2),(−2,−3),(4,9)}
d. {(8,12),(−1,9),(5,9),(−2,14)}
e {(7,1),(2,−1),(−3,8),(7,7)}

Answer 1

The domain of the function is
`\(\{-5, 0, -2, 3\}\).` So, the correct answer is option c

The domain of a function is the set of all possible input values. In this case, the input values are the x-coordinates of the ordered pairs given in the function.

The ordered pairs provided in the function are:
`\((-5, -3), (0, -11), (-2, -8), (3, 2)\).`

The x-coordinates are:
`\(-5, 0, -2, 3\).`

So, the domain of the function is
`\(\{-5, 0, -2, 3\}\).`

Now, let's check each option to see if the x-coordinates match:

a.
`\{(1, −4), (−3, 8), (−5, −3), (−3, 7)\}`- No match with the domain.

b.
`\{(−1, 7), (8, −1), (6, 12), (−3, 12)\}` - No match with the domain.

c.
`\{(−2, 10), (−4, 2), (−2, −3), (4, 9)\}` - Matches with the domain.

d.
`\{(8, 12), (−1, 9), (5, 9), (−2, 14)\}`- No match with the domain.

e.
`\{(7, 1), (2, −1), (−3, 8), (7, 7)\}`- No match with the domain.

So, the correct answer is option c. The domain of the function is
`\(\{-5, 0, -2, 3\}\).`