MAC1105 Lecture 8: 3.1 Functions Notes

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Provide a generalization to the terms listed in this section. Helps illustrate a relation by using a set of inputs and drawing arrows to the corresponding element in the set of outputs. Can be used to represent as (x, y). Relations between a set of inputs (x-values) and a set of outputs (y-values) The variable x since it can be assigned any number (s) from the given domain. The variable y since its own value is depending on x. 12 di erence quotient f (x+h) f (x) h is one of the important expressions in calculus. When a function has to be solved for y to make it explicit. When a function is in the form of either y = mx + b, y = mx, or y = b. A point, or f (x), that does exist when it comes to nding the domain of a function.

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