Answer:
[tex]\lim_{x \to \infty} f(x)[/tex] = -∞
[/tex]\lim_{x \to \ -infinity} f(x)[/tex] = +∞
Step-by-step explanation:
First it will be helpful to rearrange the term by power of x like so :
f(x) = - 9x^9 + 6x^8 + 2x^4 - 5x
By "end behavior" we mean what happens when x goes to +∞/-∞.
So we need to calculate [tex]\lim_{x \to \infty} f(x)[/tex] and [/tex]\lim_{x \to \ -infinity} f(x)[/tex].
It is easy to think as just replacing x with a very big number.(lets say 10000)
And you will see that when x goes to -∞ you will get some very big positive number and when when x goes to +∞ you will get a very big negative number.
