# How do you find the minimum value of x?

## How do you find the minimum value of x?

You can find this minimum value by graphing the function or by using one of the two equations. If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a.

What is the maximum value of x 2 2x 1?

The greatest value is 4. Therefore, 4 is the maximum value.

### How do you find the maximum and minimum value of x?

To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).

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What is the lowest value of x2 4x 2?

The lowest value of is option (b) -2.

#### What is the lowest value of x Square 4 x 2?

How do you find the minimum and maximum of a quadratic equation?

Finding 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.

## How do you find the maximum or minimum value of two variables?

x = a is a maximum if f (a) = 0 and f (a) < 0; • x = a is a minimum if f (a) = 0 and f (a) > 0; A point where f (a) = 0 and f (a) = 0 is called a point of inflection. Geometrically, the equation y = f(x) represents a curve in the two-dimensional (x, y) plane, and we call this curve the graph of the function f(x).

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How do you find the minimum value in Java?

The Java. lang. math. min() is an inbuilt method in Java which is used to return Minimum or Lowest value from the given two arguments….Example 1:

1. public class MinExample1.
2. {
3. public static void main(String args[])
4. {
5. int x = 20;
6. int y = 50;
7. //print the minimum of two numbers.
8. System. out. println(Math. min(x, y));

### What is the minimum value of x^2?

Assuming x in the question is a real number, x^2 will be a positive real number and hence the minimum value of the expression will be 2. For any positive real, the AM>GM inequality holds. The minimum value is 2. What is the minimum value of x^2+2x+1?

What is the minimum value of (a+1/a)?

Using AM>=GM, we can show that the minimum value of (a+1/a), given that a is a positive real number is 2. Assuming x in the question is a real number, x^2 will be a positive real number and hence the minimum value of the expression will be 2. For any positive real, the AM>GM inequality holds. The minimum value is 2.

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#### Is x = ex = E a relative minimum or absolute maximum?

The far-right end point, x = e x = e, will not be a relative minimum since it is an end point. The function will have an absolute maximum at x =d x = d and an absolute minimum at x = a x = a.

Can a graph have maximum and minimums but not maximums?

So, some graphs can have minimums but not maximums. Likewise, a graph could have maximums but not minimums. Here is the graph for this function. This function has an absolute maximum of eight at x = 2 x = 2 and an absolute minimum of negative eight at x = − 2 x = − 2.