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

1 Answer
Jun 16, 2016

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]}