Question

I could use some help.

What is the domain and range of each graph? Notice that some of these have endpoints.

Answer 1

It depends on two things, the radius and the center.

Assume the center is (h,k) and the radius is r.

The domain is {x l h-r<=x<=h+r

The range is {y l k-r<=y<=k+r

For example if the center is (2,-3) and the radius is 5 then the

Domain is from-3 to +7

Range is from -8 to +2

That is for the circle. For the slanted line

In this example:

the domain is {x ≥ 0}, since 0 is the lowest x-value and the arrow indicates the line continues to the right. The boundary number of 0 is included, since the dot is solid.

Identify the set of all the y-coordinates in the function’s graph to determine the range.

In this example, the range is {y ≥ -2}, since -2 is the lowest y-value and the arrow indicates the line continues upward. The boundary number of -2 is included, since the dot is solid.

I hope that could help a bit

Answer 2

Solution given:

Domain is a set of all possible x value.

Range is a set of all possible y value.

x are along the horizontal axis.

y are along the vertical axis.

now

a.

Domain: x=-5

Range: -5≤y≤5 or [-5,5]

b.

Domain:
`- \infty <x< +\infty`

Range:
`- \infty <x< +\infty`

c.

Domain: -1≤x≤2

Range: -5≤y≤5

d.

Domain:-4≤x≤4

Range:-4≤y≤4