Solution
(1). Domain
Since the graph is a polynomial, thus
The domain is all the elements of the set of Real Number
[tex]DOMAIN=(-\infty,\infty)[/tex]
(2) . Range
Notice that the graph is on the x - axis and above the x - axis throughout
The range will be
[tex]Range=\lbrack0,\infty)[/tex]
(3). x - intercept
We check where the graph touch the x - axis ( we have two)
That is at
[tex]\begin{gathered} x=-1 \\ \text{and} \\ x=2 \end{gathered}[/tex]
(4). y - intercept
We also check where the graph touch the y - axis
That is at
[tex]y=4[/tex]
(5). End Behaviour
First from the graph
[tex]x\rightarrow\infty,f(x)\rightarrow\infty[/tex]
Second from the graph
[tex]x\rightarrow-\infty,f(x)\rightarrow\infty[/tex]
