Question

Complete the end behavior statement for the function shown above. Asx→−∞, f(x)→

Answer 1

Given

The function

`f(x)=(12x^5)/(3x^5)`

To find the end behavior of the function.

Step-by-step explanation:

It is given that,

`f(x)=(12x^5)/(3x^5)`

That implies,

`\begin{gathered} \lim_(x\to-\infty)f(x)=\lim_(x\to-\infty)((12x^5)/(3x^5)) \\ =\lim_(x\to-\infty)((12)/(3)) \\ =\lim_(x\to-\infty)(4) \\ =4 \end{gathered}`

Hence,

`As\text{ }x\rightarrow-\infty,f(x)\rightarrow4`