Answer with explanation:
Drawing the graph of
→The graph of , lies only in first Quadrant,having Domain, x≥0.
Also,
So,range will be all real number.Range=y∈R.
→→When,you draw the graph of, , you will find that , it is similar to the graph of, , but it is shrunk or compressed vertically by a factor of , as compression factor lies between , 0 and 1.
Also, graph of, has negative sign before,it so it be reflected across , x axis.
Domain of will be also ,all real number greater than Zero,that is,x ≥0.
Also,
So,range will be all real number.Range=y∈R.
The correct statement describing two functions are
Option
A : The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.