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Identify the correct leading coefficient. , degree and end behavior.

Identify the correct leading coefficient. , degree and end behavior.-example-1
User Shawyeok
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1 Answer

5 votes
5 votes

Given the function:


P(x)=-3x^4+6x^3+x-5

The degree of the function is the greatest exponent of the function

So, the degree = 4

The leading coefficient = -3

the end behavior of the function:

The function has an even exponent and a negative leading coefficient

So,


\begin{gathered} as,x\rightarrow-\infty,P(x)\rightarrow-\infty \\ as,x\rightarrow+\infty,P(x)\rightarrow-\infty \end{gathered}

So, the answer will be the third option

User Pedro Costa
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3.0k points