State the Domain and Range: { (-1,1) (-3,3) (5,-5) (-7,7)

Question

d={-1,-3,-5,-7}
range {1 3 5 7}
d = { -7. -3 -1 5}
range {-5 1 3 7 }

Answer 1

Let's clarify the domain and range based on the given sets of ordered pairs.

Ordered pairs: { (-1, 1), (-3, 3), (5, -5), (-7, 7) }

1. Domain: This is the set of all the first elements (x-values) from the ordered pairs.

   • From the pairs, we extract the x-values: -1, -3, 5, and -7.
   • Thus, the domain \( d \) is: \[ d = {-7, -3, -1, 5} \]

2. Range: This is the set of all the second elements (y-values) from the ordered pairs.

   • From the pairs, we extract the y-values: 1, 3, -5, and 7.
   • Thus, the range \( r \) is: \[ r = {-5, 1, 3, 7} \]

So, summarizing:

• Domain: \( d = {-7, -3, -1, 5} \)
• Range: \( r = {-5, 1, 3, 7} \)