Question

What is the domain and range of `y=5sqrtx`?

Answer 1

Domain: `[0,oo)`
Range:`[0,oo)`

Explanation:

If we consider the general equation for a square root function:
`f(x)=asqrt(+-h(x-b)` `+c`

We can determine the endpoint of such a function as the endpoint can be found at the point `(b,c)`.
As there is no `b` or `c` coefficient in the given function, we can determine the endpoint to be `(0,0)`.

Therefore the domain of the function is `[0,oo)` and the range is `[0,oo)`.

A graph is attached below for visualisation.

graph{5sqrtx [-32, 48, -10.48, 29.52]}