# What is the functions minimum or maximum value?

Space and AstronomyFinding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and **the absolute maximum/minimum value is k and it occurs at x = h**. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

## What is a function minimum value?

The minimum value of a function is **the place where the graph has a vertex at its lowest point**. In the real world, you can use the minimum value of a quadratic function to determine minimum cost or area.

## What is this minimum or maximum value?

Parabolas that open up or open down have what is referred to as minimum and maximum value. The maximum value of a parabola is the y-coordinate of the vertex of a parabola that opens down. The minimum value of a parabola is the y-coordinate of the vertex of a parabola that opens up.

## What is the functions max value?

The maximum value of a function is **the place where a function reaches its highest point, or vertex, on a graph**. For instance, in this image, the maximum value of the function is y equals 5.

## What are the maximum and minimum of a function?

**A maximum is a high point and a minimum is a low point**: In a smoothly changing function a maximum or minimum is always where the function flattens out (except for a saddle point).

## How do you find maximum and minimum points?

Video quote: *The question reads find the maximum and minimum points of the function y is equal to X cubed minus 3x. The first thing that we have to do is find the critical points of this function.*

## How do you find minimum value of a function?

The minimum value of a function is found **when its derivative is null and changes of sign, from negative to positive**. Example: f(x)=x2 f ( x ) = x 2 defined over R , its derivative is f′(x)=2x f ′ ( x ) = 2 x , that is equal to zero in x=0 because f′(x)=0⟺2x=0⟺x=0 f ′ ( x ) = 0 ⟺ 2 x = 0 ⟺ x = 0 .

## How do you find the maximum value of a function in calculus?

Video quote: *Let's see 2x. Plus. 4 is equal to 0 to X is equal to minus. 4 right now just almost made a mistake there X is equal to minus 2. And when X is equal to minus 2. What is so what is f of minus 2 F of*

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