2023 UPDATED!!! Which graph represents the function f(x)= 2x/x^2-1

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

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Solution:

we were asked to find the graph of the equation

$f (x) = frac {2x} {x ^ 2-1}$

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

When $x = -3, y = f (-3) = frac {2 times (-3)} {(- 3) ^ 2-1} = frac {-6} {8} = - 0.75$

When $x = -2, y = f (-2) = frac {2 times (-2)} {(- 2) ^ 2-1} = frac {-4} {3} = - 1.33$

When $x = 0, y = f (0) = frac {2 times (0)} {(0) ^ 2-1} = 0$

When $x = 2, y = f (2) = frac {2 times (2)} {(2) ^ 2-1} = frac {4} {3} = 1.33$

When $x = 3, y = f (3) = frac {2 times (3)} {(3) ^ 2-1} = frac {6} {8} = 0.75$

Also function is not defined by

Now add a thesis value to the graph and connect the points, we get the graph as attached.

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