Question

Let the Domain be {-4, -1, 0, 2}. List the ordered pairs in the relation y = -x - 3 as follows:

{(-4, 1), (-1, ?), (0, ?), (2, ?)}

Fill in the correct numbers for: a = ?, b = ?

Answer 1

The missing values in the relation y = -x - 3 for the domain {-4, -1, 0, 2} are -2, -3, and -5, providing the complete set of ordered pairs: {(-4, 1), (-1, -2), (0, -3), (2, -5)}.

Step-by-step explanation:

We are tasked to find the missing values in the relation y = -x - 3 for the given domain {-4, -1, 0, 2}. To do this, we will substitute each value of x from the domain into the equation to solve for y.

• For x = -1: y = -(-1) - 3 = 1 - 3 = -2
• For x = 0: y = -(0) - 3 = 0 - 3 = -3
• For x = 2: y = -(2) - 3 = -2 - 3 = -5

Therefore, the complete list of ordered pairs in the relation becomes: {(-4, 1), (-1, -2), (0, -3), (2, -5)}.