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.

The graph shows the reciprocal parent function 5 41 5 5 Which statement best describes the function A The function is positive when xlt0 B The function is alway class=

Respuesta :

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;

[tex]y = \dfrac{a}{x - h} + k[/tex]

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;

[tex]y = \dfrac{1}{x - 0} + 0 = \dfrac{1}{x}[/tex]

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