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

How Would I Solve This And What Would Be The Answer class=

Sagot :

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]

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