Question

If k=x-y=5 find the corresponding range of y for the domain {0,2,4}

A): {-5,-3,-1}
B): {5,7,9}
C): {0,2,4}

Answer 1

The corresponding range of y for the domain {0, 2, 4} is {-5, -3, -1}.

Step-by-step explanation:

The set k=(x,y) represents a collection of ordered pairs (x, y) where x and y have a specific relationship, which is that x and y must differ by 5. The given domain is {0, 2, 4}, which means we need to find the corresponding range of y values for these x values.

To find the corresponding range, we substitute each x value into the equation x-y=5 and solve for y. For x=0, we have 0-y=5, which gives y=-5. For x=2, we have 2-y=5, which gives y=-3. And for x=4, we have 4-y=5, which gives y=-1. Therefore, the corresponding range of y for the domain {0, 2, 4} is {-5, -3, -1} (option A).