Question

Which of the following rational functions is graphed below?

Answer 1

Answer:

c)

$f(x)=\frac{1}{x(x+4)}$

Step-by-step explanation:

Hi there!

This is a Rational Function. The process of graphing it takes a lot more hard work than graphing other functions like linear, quadratic, modulus, and so on.

Here a list on how to proceed

First

1) Find the point of intersections by calculating the zeros of the function on the Numerator. In this case, we just have a 1 on top, so our graph won't intercept x-axis.

2) Calculate the vertical asymptotes by calculating the zeros of the function in the denominator, x²+4x=0 S=(0,-4) on green on the graph below.

3) Construct the table of values for x, and y

4) Trace the graph