My Definition of Equations and Functions

April 11, 2008 at 8:49 pm | In algebra | 1 Comment
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Equation – a mathematical sentence where two expressions are set equal to each other

For example: 3 + 2 = 5
(3)(2) = (6)(1)
x + 6 = 12
x + y = 12

Function – a relationship between two sets of numbers, called the domain and range. Each element in the domain is paired with exactly one element in the range.

For example:      set of ordered pairs: {(-2, 1), (5, 2), (3, 4)}

Table:
x      y
-2     1
5      2
3      4

* Functions can also be represented as mappings and graphs, but these wouldn’t copy from my microsoft word document

Functions as equations – equations that represent functions can be written as function rules. Function rules can be written with function notation.

For example: a function rule: y = 2x + 3

Function notation: f(x) = 2x + 3

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  1. My definition of an equation is almost exactly the same as yours.


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