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 $x\to \infty$