Question

What is the end behavior? 10 points!!

Answer 1

Given:

The given function is:

`f_1(x)=-3\cdot 2^(x-5)-4`

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

`f_1(x)=-3\cdot 2^(x-5)-4`

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.

`f_1(x)\to -4` as
`x\to -\infty`

`f_1(x)\to -\infty` as
`x\to \infty`

Therefore, the end behaviors of the given function are:

`f_1(x)\to -4` as
`x\to -\infty`

`f_1(x)\to -\infty` as
`x\to \infty`