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The function of a leaf is to be responsible for the production of food. The leaf of a plant contains chlorophyll, which is important for photosynthesis.
To transform CO2 and H2O into sugars to fuel and build the plant.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
The cubic function.
Range
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite function.