Question

Determine the domain and range of each relation

a) { (1,2), (3,4), (5,6) }

b) 3x + 4y = 12

c) y = √x+4

Answer 1

a) The domain are the x values of the system. So here the x coordinates are: 1, 3, and 5.

b) This equation is a linear equation because x is raised to only one power and it has nothing in the denominator. The domain of any linear equation is all real numbers.

c) For a square root, first set the expression to greater than or equal to 0.

`√(x) +4 \geq 0` The solve for x.
`√(x) \geq -4`

`x \geq 16`

a) 1, 3, and 5
b) all real numbers
c)
`x \geq 16`

Answer 2

Domain is the x and the range is the y, that being said, 1) domain: 1,3,5 range: 2,4,6
2) you need to solve for x then plug x in and solve for y when solving for x you can plug in a number like 1
3) same circumstance as number 2!
Hope this helped!