Respuesta :

Answer: The graph of rectangular hyperbola represents the function f(x)=4/x.

Explanation: given function, f(x)= 4/x.

The above function shows equation of rectangular hyperbola or equilateral hyberbola.(because, it is the type of [tex]xy=c^2[/tex].)

Thus, the asymptote  of the given function must be perpendicular.

Moreover, if x=2, y=2, if x=-2, y=-2

                 If x=4, y=1, if x=-4, y=-1

Therefore, this hyperbola is passing through points (2,2), (-2,-2), (4,1) and (-4,-1).


Ver imagen parmesanchilliwack
facundo3141592

We want to find the graph of the function f(x) = 4/x.

The graph can be seen at the end of the answer.

So to graph this kind of function, what we can do is evaluate the function in some different values of x to get some points. Then graph these points, and then connect the points.

For example, evaluating in x = 1, 2, and 3 we get:

  • f(1) = 4/1 = 4
  • f(2) = 4/2 = 2
  • f(3) = 4/3.

Then we have the points:

(1, 4), (2, 2), (3, 4/3)

Now we just graph these points and connect them to get the desired graph (notice that, as more points you get, the more precise graph you will get).

If you want to learn more about graphs, you can read:

https://brainly.com/question/4025726

Ver imagen facundo3141592

Otras preguntas