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rewona [7]
3 years ago
12

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

Mathematics
2 answers:
suter [353]3 years ago
6 0

Solution:

we have been asked to find the graph of the equation

f(x)=\frac{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.

whenx=-3, y=f(-3)=\frac{2\times(-3)}{(-3)^2-1}=\frac{-6}{8}=-0.75

whenx=-2, y=f(-2)=\frac{2\times(-2)}{(-2)^2-1}=\frac{-4}{3}=-  1.33

whenx=0, y=f(0)=\frac{2\times(0)}{(0)^2-1}=0

whenx=2, y=f(2)=\frac{2\times(2)}{(2)^2-1}=\frac{4}{3}= 1.33

whenx=3, y=f(3)=\frac{2\times(3)}{(3)^2-1}=\frac{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.


velikii [3]3 years ago
4 0
See attachment for your answer:

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