Question

The graph shown here is the graph of which of the following rational

Answer 1

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

Vertical asymptotes of the function are x = -2, 5

Horizontal asymptote is y = 0

Now we take each option,

Option (A),

F(x) = $\frac{x(x-5)}{(x+2)}$

No horizontal asymptote

Vertical asymptote : x = -2

Option (B),

F(x) = $\frac{x}{(x+2)(x-5)}$

Horizontal asymptotes : y = 0

Vertical asymptotes : x = 5, -2  

Option (C),

F(x) = $\frac{(x+2)(x-5)}{x}$

Vertical asymptote : x = 0

No horizontal asymptote.

Therefore, Function given in Option (B) matches the asymptotes given in the graph.

Option (B) represents the graph.