The graph of a function is given above Which of the followin

The graph of a function is given above. Which of the following can be this function? f(x) = x^2 - 4x/x^2 - 9 f(x) = 2x^2 - 4/x^2 - 9 f(x) = x^2 - 4/x^2 - 9 f(x) = 4x^2 - 4x/x^2 - 9 f(x) = 2x^2 - 8/x^2 + 9 None of the above

Solution

At x = 0, value of graph is non zero,

Option A and D are wrong, SInce

for option A, f(0) = 0

Similarly for option D., f(0) = 0

Now function is not define at x = -3 and x = 3, So option E is wrong as the function is define at these points in option E.

Now,

function\'s value is zero at x = -2 and x = 2, so option B is wrong, since

for option B, f(2) = -4/5

So correct option is C.