Question

Consider function h. Complete the statements describing the y-values of function h.

Answer 1

Answer:

1) The end behavior of function $h$ is described by an absolute (horizontal) asymptote.

2) The range of function $h$ is all y-values less than or equal to 0 and greater than 1.

Step-by-step explanation:

1) The end behavior of the function is defined by a horizontal asymptote, that is the values of $y$ when $x$ tends to $\pm \infty$. Answer: The end behavior of function $h$ is described by an absolute (horizontal) asymptote.

2) The range of the function is the set of values of $y$ associated with the function. The existence of two vertical asymptotes give the following solution for the range: $Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty)$ Answer: The range of function $h$ is all y-values less than or equal to 0 and greater than 1.