Rational function

Task

Given the function

1.	Define the function f(x) by entering into the Input Bar and pressing Enter.
	Note: GeoGebra CAS Calculator automatically simplifies the equation of f(x).
2.	Use the command to determine the roots of f(x).
	Note: You can also use the command to calculate the roots of f(x).
3.	To determine the maximum domain of f(x), calculate the roots of the denominator of f(x) by entering the command .
	Note: You can also use the command .
4.	As the solution is -3 we get the maximum domain .

5.	Use the Limit command to identify the behaviour of f(x) at the edges of D.
	Enter the command into the Input Bar to identify the behaviour on the left edge.
	Enter the command into the Input Bar to identify the behaviour on the right edge.
6.	Use the commands LimitBelow and LimitAbove to identify the behaviour of f(x) around -3.
	Enter the command into the Input Bar.
	Enter the command into the Input Bar.