Question

I need help with this question please. Also, this is just apart of a homework practice

Answer 1

Given:

`P(x)=4x^5+9x^4+6x^3-x^2+2x-7`

The leading coefficient is the coeffient (number) written in front of the the variable with the highest power of x.

So, the leading coefficient is 4

The degree of the equation is the highest power of the variable.

In this question, the degree is 5.

Finally, to find the end behavior, you have to substitute the leading term by +∞ and -∞ to observe the behavior of the function.

Substituting by +∞:

`4\cdot\infty^5=\infty`

Substituting by -∞:

`4\cdot(-\infty)^5=-\infty`

Answer:

Leading coefficient: 4

Degree: 5

x → +∞; P(x) → +∞

x → -∞; P(x) → -∞

Alternative A.