Question

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

Answer 1

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