Question

Just need 8 thanks..

Answer 1

8a)

D:
`1\leq x\leq 3`.

R:
`0\leq y\leq 4`

8b)

D:
`x\geq 0`

R:
`y\geq 1`

Explanation:

8a) The domain is the set of all possible numbers the x values could be. If there is no corresponding y value for an x value, that x value would not be considered part of the domain.

In the question, the function starts at x = 1 and continues until 3. The ends of the function are closed, so it is inclusive. This can be written as
`1\leq x\leq 3`.

The range is all the possible y values. The function does not go below y = 0 and has a maximum of 4. The ends of the function are closed, so it is inclusive. This can be written as
`0\leq y\leq 4`

8b) We can do the same for this problem. The x has a minimum at 0 and continues to go on without an upper bound(as indicated by the arrow), is also includes the point where x=0. Therefore, the domain can be written as
`x\geq 0`.

As for the range, the y minimum is 1 and the function continues to increase as shown by the upwards slope and arrow. The function also includes the point where y=1, so it can written as
`y\geq 1`