Question

When is a graph minimum and maximum?

Answer 1

ax^2 + bx+c =0
when a>0, the graph opens upwards, => min.
when a<0, the graph opens downwards, => max.

Answer 2

TY again(:

Answer 3

welcome:)

Answer 4

So if it's -ve it'll be max?

Answer 5

it depends
there are so many concepts like absolute maximum ,local maximum etc.......

Answer 6

In general?(:

Answer 7

for quadratic, yes
in general, you need to take the derivatives and see the change of slope
if the slope change from + -> -, the it is a local max.

Answer 8

in general a maximum arises when the value of the function at a point is greater than the value of the function in its immediate neighboring points

Answer 9

Take the derivative of the function and equate it to zero. That will give you the turning point of the graph. Take the second order derivative of it, if it is 0> then it is local minimum while if it is <0 then it is local maximum. Hope it helps!

Answer 10

Thank you(: