Square root of a function

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


      y=f(x)=x+3y = f\left( x \right) = x + 3

      y=f(x)=x+3y = \sqrt {f\left( x \right)} = \sqrt {x + 3}







    2. State the domain and range of each function.
  2. Graphing y=f(x)y=\sqrt{f(x)} from the Graph of y=f(x)y=f(x)
    Given the graph of y=f(x)y = f\left( x \right) as shown:
    Square root of a function
    1. Sketch the graph of y=f(x)y = \sqrt {f\left( x \right)} .
    2. State the domain and range of:
      i) y=f(x)y = f\left( x \right)
      ii) y=f(x)y = \sqrt {f\left( x \right)}
Topic Notes
What will happen if we put a square root in a function? What will its graph look like? We will tackle these questions in this lesson and see it yourself!