Square root of a function

Lessons

1. Comparing: $y = f\left( x \right)$ VS. $y = \sqrt {f\left( x \right)}$
   Given $f\left( x \right) = x + 3$,
   1. Use a table of values, graph the functions $y = f\left( x \right)$ and $y = \sqrt {f\left( x \right)}$ .

      $x$	$y = f\left( x \right) = x + 3$	$y = \sqrt {f\left( x \right)} = \sqrt {x + 3}$
      -5
      -4
      -3
      -2
      1
      6

   2. State the domain and range of each function.
      
2. Graphing $y=\sqrt{f(x)}$ from the Graph of $y=f(x)$
   Given the graph of $y = f\left( x \right)$ as shown:
   
   1. Sketch the graph of $y = \sqrt {f\left( x \right)}$ .
   2. State the domain and range of:
      i) $y = f\left( x \right)$
      ii) $y = \sqrt {f\left( x \right)}$