Question

Which of the following rational functions is graphed below?
​

Answer 1

The rational function D is graphed

Answer 2

The rational function graphed is determined by the asymptotes and the

intercepts of the graph.

Response:

The rational function that is graphed is option D;  

$D. \hspace{0.15 cm} F(x) = \dfrac{x}{(x + 4) \cdot (x - 1)}$

How can the function represented by the graph be found?

The given graph has vertical asymptote at x = -4, and x = 1

Therefore;

• Factors in the denominator includes (x + 4), and (x - 1)

From the graph, at x = 0, F(x) = 0, which gives;

• A factor of the numerator is; x

Between -4 < x < 1, as the x-value increases, F(x) decreases more

rapidly, which gives;

The power of the polynomial in the denominator is larger than the numerator and is an even number.

The function is therefore;

$\underline{D. \hspace{0.15 cm} F(x) = \dfrac{x}{(x + 4) \cdot (x - 1)}}$

Learn more about rational functions here:

https://brainly.com/question/25402365