Answer:
Graph of Option D represents [tex]y=\sqrt{x}[/tex]
Step-by-step explanation:
we are given our function as
[tex]y=\sqrt{x}[/tex]
squaring on both sides we get
[tex]y^2=x[/tex]
It represent a parabola opening towards the positive side of x axis. Hence it gives us some preliminary idea about the graph of the function we are given .
However our original function is [tex]y=\sqrt{x}[/tex]
Domain of [tex]y=\sqrt{x}[/tex] is all positive values of x
And square root of positive values will always result in positive values. Hence y can not be negative as the range is All positive values of y
Hence we erase the graph of [tex]y^2=x[/tex] below x axis to obtain the graph of
[tex]y=\sqrt{x}[/tex]
