Given:
The function is:
[tex]f(x)=-4x^9[/tex]
To find:
The end behaviors of the given function.
Solution:
We have,
[tex]f(x)=-4x^9[/tex]
The leading coefficient is -4 which is a negative value and the degree of the leading coefficient is 9 which is an odd number. So,
[tex]f(x)\to \infty[/tex] as [tex]x\to -\infty[/tex].
[tex]f(x)\to -\infty[/tex] as [tex]x\to \infty[/tex].
Hence, as [tex]x\to -\infty[/tex], [tex]f(x)\to \infty[/tex] and as [tex]x\to \infty[/tex], [tex]f(x)\to -\infty[/tex].
