Which statement is true about the function f(x) = negative StartRoot x EndRoot?It has the same domain and range as the function f(x) = StartRoot x EndRoot.It has the same range but not the same domain as the function f(x) = StartRoot x EndRoot.It has the same domain and range as the function f(x) = negative StartRoot negative x EndRoot.It has the same range but not the same domain as the function f(x) = negative StartRoot negative x EndRoot.

It has the same domain but not the same range as the function [tex]f(x)=\sqrt{x}[/tex]Explanation:The function:[tex]g(x)=-\sqrt{x}[/tex]is a reflection over the x-axis of the function:[tex]f(x)=\sqrt{x}[/tex]Because every point (x, y) on f(x) is mapped onto (x, -y) on g(x), but the domain of those functions are the same as you can see in the figure below.[tex]f(x) \ is \ the \ blue \ graph \\ \\ g(x) \ is \ the \ red \ graph[/tex]However, you can see that:The range of [tex]f[/tex] is [tex][0,\infty)[/tex]The range of [tex]g[/tex] is [tex](-\infty,0][/tex]So they have different range.Learn more:Parabola: