Question

What is the domain and range of `y= | x - 3 | + 8`?

Answer 1

Domain: `RR` (all Real numbers)
Range: `y>=8; y in RR`

Explanation:

`y=abs(x-3)+8`
is defined for all Real values of `x`
So the domain is `RR`

Since `abs(x-3) >=0`
`color(white)("XXX")abs(x-3)+8 >= 8`
and `y` is only defined for Rel values `>=8`