inflection point on a graph

[proud light]

Is the inflection point at x=1, 7, 11?

[cinder creek]

Inflection point ig is not defined for a straight line

So i believe 1 will not be an inflection point

Oh my bad u have given the graph of second derivative

Point of inflection will be 1 and 11

Both side of 7 has same sign hence that is not a point of inflection

[proud light]

those this definition applies to a f(x) graph?

[cinder creek]

Yep

Like if u see logically every point on the straight line has a second derivative of zero

[proud light]

I dont get this

[cinder creek]

See a straight line is y = mx + c where m and c are constants

So the first derivative = m
And second derivative= 0

So in a straight line second derivative is always zero hence inflection point is not defined

[cinder creek]

@proud light

[proud light]

I understand that

[proud light]

It somewhat makes sense..!

ill fully understand it, TY

[cinder creek]

alright

you're welcome

[proud light]

.solved