Question

Which line is a horizontal asymptote of the graph of function r?

1) The graph has no horizontal asymptotes
2) y = 0
3) y = 1
4) y = -1

Answer 1

Option 1) The graph has no horizontal asymptotes.

Step-by-step explanation:

The correct answer is option 1) The graph has no horizontal asymptotes.

A horizontal asymptote of a function represents the value that the function approaches as the input (x) approaches positive or negative infinity. In this case, since the graph of function r has no horizontal asymptotes, it means that as x approaches positive or negative infinity, the function does not approach any specific value on the y-axis.

For example, if we take the function y = x, as x approaches positive or negative infinity, the value of y also approaches positive or negative infinity, respectively. However, in the case of function r, there is no specific value that y approaches as x approaches infinity or negative infinity.