Squaring Function
f(x) = x^2
A squaring function is a type of function in mathematics where the output value is the square of the input value. In other words, when the input value is multiplied by itself, the resulting value is the output.
The general form of a squaring function is:
f(x) = x²
where x represents the input value and f(x) represents the output value.
The squaring function is a type of polynomial function and belongs to the family of quadratic functions. It is an even function, which means that it is symmetrical about the y-axis, and has a parabolic graph that opens upwards.
The squaring function has an infinite domain and range of non-negative real numbers since any non-negative real number can be squared to obtain a non-negative real value. However, the output value of a squaring function is always positive or zero, which means that it is not useful for modeling negative real-world phenomena.
Squaring functions have many applications in mathematics and science, including modeling physical phenomena such as motion, force, and energy. They are also used in statistics to compute the variance of a set of data, which measures how spread out the data is around its mean value.
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