Question

Given the domain (-2,2,4) what is the range for the relation 3x-y=3

Answer 1

The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).

Step-by-step explanation:

To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:

• For x = -2: 3(-2) - y = 3; -6 - y = 3; y = -6 - 3; y = -9.
• For x = 2: 3(2) - y = 3; 6 - y = 3; y = 6 - 3; y = 3.
• For x = 4: 3(4) - y = 3; 12 - y = 3; y = 12 - 3; y = 9.

The range for the given domain is (-9, 3, 9).

Answer 2

Given the domain, the range for 3x-y = 3 is {-9, 6, 9}

Step-by-step explanation:

First you have to put the relation in terms of y ⇒ 3x - y = 3⇒ 3x -3 = y

⇒ y = 3x - 3.

Then you replace the values indicated by the domain to find their "y" values (the ones that constitute the range).

f(-2) = -9

f(2) = 6

f(4) = 9.

Finally, the range for the given domain is {-9, 6, 9}