Question

The graph shows the reciprocal parent function.

Answer 1

Answer:

The correct option is;

D. The function is positive when x > 0

Step-by-step explanation:

The reciprocal parent function is of the form;

$y = \dfrac{a}{x - h} + k$

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;

$y = \dfrac{1}{x - 0} + 0 = \dfrac{1}{x}$

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