Question

Which of the following rational functions is graphed below?
5
10
A. F(X) =
OB. F(x)=
O C. F(x) =
D. F(X) =
(x + 1)
(x + 2)(x-2)
(x+1)
(x-1)(x+2)
2x
x(x - 2)
(x-1)
x(x-2)
ڈے

Answer 1

Answer:

B.  F(x) = (x+1)/(x-1)(x+2)

Step-by-step explanation:

See attached graph.  Note how the two vertical lines at x = -2 and 1 match plot B

Answer 2

The following graph is of the rational function $F(x) = \frac{x+1}{(x-1)(x+2)}$

What are asymptotes?

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.

The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.

Learn more about asymptotes here

https://brainly.com/question/4084552

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