Question

Use the graph to determine which statement is true about the end behavior of f(x).

As the x-values go to negative infinity, the function’s values go to negative infinity.
As the x-values go to negative infinity, the function’s values go to positive infinity.
As the x-values go to positive infinity, the function’s values go to negative infinity.
As the x-values go to positive infinity, the function’s values go to zero.

Answer 1

The information provided is contradictory and incomplete, preventing an accurate determination of the end behavior of the function f(x). End behavior would require a specific graph or a clear description of a single function's behavior as x approaches infinity or negative infinity.

Step-by-step explanation:

To determine which statement is true about the end behavior of the function f(x), we should look at the behavior of the function as the x-values approach infinity or negative infinity. However, the information provided is contradictory and incomplete for a single function. There are several different functions described, and none seem to match the options given. However, if we focus on general principles, we can state that:

• A positive slope indicates that as the x-values increase, the function's values also increase, moving up the y-axis.
• A negative slope suggests that as the x-values go to positive infinity, the function's values decrease, moving down the y-axis.
• An asymptote, such as with the function y = 1/x, indicates that the function approaches a certain value but never reaches it.

Given these principles, we cannot determine the end behavior of f(x) from the information provided. We would need a specific graph or function to analyze the end behavior accurately.

Answer 2

Answer: B) As the x-values go to negative infinity, the function’s values go to positive infinity.

Step-by-step explanation:

As x goes to negative infinity (to the left) the y-values go up (toward positive infinity).

As x goes to positive infinity (to the right) the y-values go up (toward positive infinity). Note that this was not provided as an option.