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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Similar questions

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

f (x) = \frac{x^{2}}{x^{2} + 3}

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

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

f (x) = x^{4} (12 ln x - 7)

	Column-I		Column-II
(A)	If $(a, b)$ is the point of inflection then $a - b$ is equal to	(p)	$3$
(B)	If $e^{t}$ is a point of minima then $12 t$ is equal to	(q)	$1$
(C)	If graph is concave downward in $(d, e)$ then $d + 3 e$ is equal to	(r)	$4$
(D)	If graph is concave upward in $(p, \infty)$ then the least value of $p$ is equal to	(s)	$8$

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