Question

How would I solve this and what would be the answer?

Answer 1

(1). Domain

Since the graph is a polynomial, thus

The domain is all the elements of the set of Real Number

`DOMAIN=(-\infty,\infty)`

(2) . Range

Notice that the graph is on the x - axis and above the x - axis throughout

The range will be

`Range=\lbrack0,\infty)`

(3). x - intercept

We check where the graph touch the x - axis ( we have two)

That is at

`\begin{gathered} x=-1 \\ \text{and} \\ x=2 \end{gathered}`

(4). y - intercept

We also check where the graph touch the y - axis

That is at

`y=4`

(5). End Behaviour

First from the graph

`x\rightarrow\infty,f(x)\rightarrow\infty`

Second from the graph

`x\rightarrow-\infty,f(x)\rightarrow\infty`