Question

Select the function that whose end behavior is described by

Answer 1

Answer:

f(x) = 7x^9-3x^2-6

Step-by-step explanation:

Answer 2

Answer:

Option 1.

Step-by-step explanation:

If the degree of a polynomial is even and leading coefficient is positive, then

$f(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$f(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

If the degree of a polynomial is even and leading coefficient is negative, then

$f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

$f(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

If the degree of a polynomial is odd and leading coefficient is positive, then

$f(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$f(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

If the degree of a polynomial is odd and leading coefficient is negative, then

$f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

$f(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

Given end behavior is described by a polynomial whose degree is odd and leading coefficient is positive.

Only the function $f(x)=7x^9-3x^2-6$ has odd degree and positive leading coefficient.

Therefore, the correct option is 1.