1. f(x) = 3√x + 2
We can put in any real number for x.....so the domain is just (-inf, inf)
And any real number can be generated from the function
So.....the range is also (-inf, inf)
Here's the graph : https://www.desmos.com/calculator/sd0menwuyg
2. f(x) = 2 √x
Note that we cannot put any negative values in the square root [ this generates a non-real number ]
So the domain is [ 0, inf )
And out of a positive square root, we can never get any negative values
So.....the range is the same [0, inf )
Here's a graph : https://www.desmos.com/calculator/hndidezpmc