Question

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

Answer 1

Considering it's asymptotes, the rational function shown in the graph is:

C. $F(x) = \frac{1}{(x + 2)(x - 1)}$

What are the asymptotes of a function f(x)?

• The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

• The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this graph, there are vertical asymptotes at x = -2 and x = 1, hence the denominator of the function is:

(x + 2)(x - 1).

The horizontal asymptote is of y = 0, hence the function can be given by:

C. $F(x) = \frac{1}{(x + 2)(x - 1)}$

More can be learned about rational functions and asymptotes at brainly.com/question/24410059

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