Question

What can you say about the end behavior of the function ?A.One end decreases and one end approaches a constantB.One end increases and one end decreasesC.Both ends increaseD.Both ends decrease

Answer 1

ConGiven:

$f(x)=log_2(4x+8)+16$

Required:

We need to find the end behavior of the given function.

Explanation:

Recall that the end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis.

Consider the graph of the given function.

$\text{ When x}\rightarrow\infty,\text{ the function is increasing.}$$\text{ When x}\rightarrow-\infty,\text{ the function is undefined but decreasing.}$

Final answer:

One end increases and one end decreases