`f(x)=|x^2-1|` has no inflection point in its domain as no tangent can be drawn at these points.

f(x)=x^(3)atx=0 has inflection point y'=0 at x=0 and change sign.

Statement 1: The point of intersection of the tangents at three distinct points A,B, and C on the parabola y^(2)=4x can be collinear. Statement 2: If a line L does not intersect the parabola y^(2)=4x, then from every point of the line,two tangents can be drawn to the parabola.

The function f(x)=x^((1)/(3))(x-1) has two inflection points has one point of extremum is non-differentiable has range [-3x2^(-(8)/(3)),oo)

Statement I Tangent drawn at the point (0, 1) to the curve y=x^(3)-3x+1 meets the curve thrice at one point only. statement II Tangent drawn at the point (1, -1) to the curve y=x^(3)-3x+1 meets the curve at one point only.

The image of y^(2)=4x in its tangent at the point (1,2)

f(x)=x^((1)/(5)) at x=0 has inflection point.y'D.N.E. at x=0