Cube Function
f(x) = x^3
The cube function is a mathematical function that takes a number and raises it to the power of 3. It is represented symbolically as f(x) = x^3.
When evaluated, the cube function takes any value of x and returns its cube, which is the value obtained by multiplying x by itself three times. For example, the cube of 2 is 2^3 = 8. Similarly, the cube of -3 is (-3)^3 = -27.
The cube function is an odd function, meaning that f(-x) = -f(x). This can be seen by substituting -x for x in the function expression: f(-x) = (-x)^3 = -x*x*x = -f(x).
The graph of the cube function is a curve that passes through the origin and rises steeply as x moves away from zero. It has a point of inflection at the origin, which is the point where the curve changes direction from concave down to concave up.
The cube function has several applications in science and engineering, including in the calculation of volumes and densities of solids, as well as in the modeling of various physical phenomena.
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