Given the function:
[tex]f(x)=\sqrt[]{x^2+6x}-x[/tex]the graph of the function will be as follows:
As shown in the figure:
The domain is the values of x which can be f(x) is valid
As the function contain a square root, so, the root must be greater than or equal to zero
so, the domain will be:
[tex](-\infty,-6\rbrack\cup\lbrack0,\infty)[/tex]The Y-intercept is the value of y which make x = 0
So, as shown: y-intercept = 0
The x-intercept is the value of x which make y = 0
So, as shown: x-intercept = 0
