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Consider the function f : ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 1 , 2 1 → defined by f(x) = 1 x 2 3 x 2 4 3 − − . Consider the statements (I) The curve y = f(x) intersects the x-axis exactly at one point. (II) The curve y = f(x) intersects the x-axis at x = 12 cos π Then

1. Both (I) and (II) are incorrect.
2. Only (II) is correct.
3. Only (I) is correct.
4. Both (I) and (II) are correct.

Correct answer: Both (I) and (II) are correct.

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