A function has a "local minimum point" at a point p where there exists at least one positive number e having the property that the value v of the function for any point q for which the absolute value of q - p is greater than 0 but not greater than e, the value of the function at q is greater than or equal to the value at p.
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A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.
They are simply referred to as local minimums and maximums. Experience: Algebra 2 Advanced
An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.
The projectile have minimum speed when it is in top of prabolic and it have max sped when it is in intial point
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.