Question

Which statement is true about the end behavior of the

graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
• As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to positive infinity, the function's
values go to positive infinity.

Answer 1

The end behavior of the graphed function can be inferred based on properties of common functions like the reciprocal function (y = 1/x) and linear functions with a positive slope. However, without a specific graph or context, a definitive answer cannot be given solely on the provided descriptions.

Step-by-step explanation:

To determine the end behavior of a graphed function, it is crucial to understand how the function values change as the x-values approach certain limits. The given descriptions attempt to describe this end behavior for a function as x approaches different types of infinity or particular values.

Since the information given includes references to a function resembling the reciprocal function, y = 1/x, which is known to have asymptotes and limits indicating that as x-values go to zero, the function's values go to positive infinity, we can infer that this characteristic aligns with the standard behavior of such functions. However, without a graph or more context, it is not possible to decisively conclude the end behavior of this unspecified function beyond the concepts provided.

Additionally, descriptions involving the slope of a line indicate that a positive slope suggests that as x-values go to positive infinity, the function's values also go to positive infinity. This is typically true for linear functions with a positive slope.