1 Answer

Muthukumar M · Answer 1 · 2023-06-25T12:59:20+0000

Solution

(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

(5). End Behaviour

First from the graph

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

Second from the graph

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

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