Question

The graph shows the reciprocal parent function.

5
41
5
-5
Which statement best describes the function?
A. The function is positive when x<0.
B. The function is always positive.
C. The function is positive when x < 0 and when x > 0.
D. The function is positive when x > 0.

Answer 1

The correct option is;

D. The function is positive when x > 0

Explanation:

The reciprocal parent function is of the form;

`y = (a)/(x - h) + k`

Where;

h = The horizontal translation

k = The vertical translation

a = The orientation of the graph

Therefore, whereby we have, h = 0, k = 0. and a = 1, the equation becomes;

`y = (1)/(x - 0) + 0 = (1)/(x)`

Therefore, the value of the function y is positive when x > 0 and is negative when x < 0.