What is the end behavior? 10 points!!

Given:

The given function is:

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.

as

as

Therefore, the end behaviors of the given function are:

as

as

answer:      

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x