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

1 Answer
Jun 16, 2016

Answer:

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]}