Question

Which of the following are characteristics of the graph of the reciprocal parent function?

A. It has a horizontal asymptote at y = 0.
B. It passes through the point (1, 0).
C. It passes through the point (2, 0.5).
D. It has a vertical asymptote at x = 0.

Answer 1

The graph of a reciprocal function
`y= (1)/(x)` is shown below

The curves do not cross either x or y-axes hence the correct statements are statement A and statement D.