Question

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

1. The end behavior of function h is described by (an oblique, no, or absolute) asymptote.
2. The range of function h is all y-values (less than or equal to 4,1,-4, or 0) and (greater than 1, 0, -4, or 4)

Answer 1

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.

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.