Point of inflection is the point in the domain where function changes from convex to concave.

True

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False

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Solution

The correct option is B
False

Point of inflection is a point where function changes from either concavity to convexity or convexity to concavity. In other words we can say that it is a point where f”(x) = 0 and f”(x) has opposite signs in the neighborhood of the point.

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Point of inflection is the point in the domain where function changes from convex to concave.

f (x) = x^{4} - 4 x^{3}

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y = e^{- x^{2}}

Point of inflection of the function $f (x) = x^{3}$ is

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