Question

How do you graph `y=1/2sqrtx`, compare it to the parent graph and what is the domain and range?

Answer 1

The graph of `y` is the standard graph `f(x)=sqrtx` scaled by `1/2`
Domain: `[0, +oo)` Range: `[0, +oo)`

Explanation:

The graph of `y` is the standard graph `f(x)=sqrtx` scaled by `1/2`

The graphs of `y` (lower) and `sqrtx` (upper) are shown below.

graph{(1/2sqrt(x)-y)(sqrt(x)-y)=0 [-2.653, 9.833, -3.12, 3.125]}

`y` is defined `forall x in RR >=0`

Hence the domain of `y` is `[0, +oo)`

`y=0` at `x=0`

`y` has no finite upper bound.

Hence the range of `y` is also `[0, +oo)`