Question

Which graph represents the function f(x)=2x/x^2-1

Answer 1

see attachment for your answer:

Answer 2

we have been asked to find the graph of the equation

`f(x)=(2x)/(x^2-1)`

We can get the graph by simply taking some values for the variable x and working out the value of the variable y. Then we just need to put those values on the graph and connect.

when
`x=-3, y=f(-3)=(2*(-3))/((-3)^2-1)=(-6)/(8)=-0.75`

when
`x=-2, y=f(-2)=(2*(-2))/((-2)^2-1)=(-4)/(3)=-  1.33`

when
`x=0, y=f(0)=(2*(0))/((0)^2-1)=0`

when
`x=2, y=f(2)=(2*(2))/((2)^2-1)=(4)/(3)= 1.33`

when
`x=3, y=f(3)=(2*(3))/((3)^2-1)=(6)/(8)=0.75`

Also function is not defined at
`x=\pm1`

Now put theses value on the graph and connect the points, we will get the graph as attached.