Square Function
f(x) = x^2
The square function is a mathematical function that returns the square of a given number. In other words, if we have a number x, the square function returns x^2. The square function is used in many different areas of mathematics, science, and engineering.
The square function is defined for all real numbers. When x is a positive integer, the square function returns the square of x, which is also a positive integer. For example, if x is 5, then x^2 is 25.
When x is a negative number, the square function returns a positive number. For example, if x is -5, then x^2 is 25. This is because when we square a negative number, the result is always positive.
The square function has many important properties. It is an even function, meaning that f(x) = f(-x) for all x. It is also a one-to-one function, meaning that for any given value of x, there is only one output value.
The square function is commonly used in algebra, geometry, calculus, and other branches of mathematics. It is used to solve equations, find the areas of squares and rectangles, and to analyze data sets.
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