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

Jun 16, 2016

Domain: $\left[0 , \infty\right)$
Range:$\left[0 , \infty\right)$

#### 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 $\left(b , c\right)$.
As there is no $b$ or $c$ coefficient in the given function, we can determine the endpoint to be $\left(0 , 0\right)$.

Therefore the domain of the function is $\left[0 , \infty\right)$ and the range is $\left[0 , \infty\right)$.

A graph is attached below for visualisation.

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