Free End behavior of polynomials Practice Problems • Learn To Be

Consider the polynomial function

p(x)=6x^9+4x^6+2x^4-200

.

What is the end behavior of the graph of $p\$ ?

Choose 1 answer:

A
As $x \rightarrow \infty$ , $p(x) \rightarrow \infty$ , and as $x \rightarrow -\infty$ , $p(x) \rightarrow \infty$ .
B
As $x \rightarrow \infty$ , $p(x) \rightarrow -\infty$ , and as $x \rightarrow -\infty$ , $p(x) \rightarrow \infty$ .
C
As $x \rightarrow \infty$ , $p(x) \rightarrow -\infty$ , and as $x \rightarrow -\infty$ , $p(x) \rightarrow -\infty$ .
D
As $x \rightarrow \infty$ , $p(x) \rightarrow \infty$ , and as $x \rightarrow -\infty$ , $p(x) \rightarrow -\infty$ .

End behavior of polynomials