Question

hi, can you help me with this. the multiple options given for the range are x < 10, y < 10, x > 10, y > 10, x = all real numbers, range = all real numbers

Answer 1

The given function is

`y=\sqrt[]{x-5}+10`

The graph of the function is

Here the point (5,10) is the minimum point.

x-coordinate of the point (5,10) is the minimum value of the domain.

The domain is x>5

y-coordinate of the point (5,10) is the minimum value of the range.

The range is y>10

Hence the answer is

`\text{Domain x>5}`
`\text{Range y>10}`