Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
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By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
From the minimum value of the independent variable to its maximum.
A parabola's maximum or minimum is its vertex.
In Calculus, to find the maximum and minimum value, you first take the derivative of the function then find the zeroes or the roots of it. Once you have the roots, you can just simply plug in the x value to the original function where y is the maximum or minimum value. To know if its a maximum or minimum value, simply do your number line to check. the x and y are now your max/min points/ coordinates.
Range = Maximum value - Minimum value
There is no minimum (nor maximum) value.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
The spread is the minimum value (not count) to the maximum value. The range is the maximum value minus the minimum value. Spread does not consider the frequency of the values, only the minimum and maximum.
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No standard deviation can not be bigger than maximum and minimum values.
A minimum refers to the smallest possible value or quantity in a set or range, while a maximum refers to the largest possible value or quantity in a set or range. So, a minimum is less or smaller than a maximum.
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In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
The difference is that the maximum is normally larger than the minimum.