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ALGEBRAIC FUNCTIONS (Easy to see.)
A set of all X's is called the DOMAIN
A set of all Y's is called the RANGE
A FUNCTION is when the X value of each X,Y pair of coordinates is always a different value.
A sample set of XY pairs of a function { (5,2) (6,4)
(7,8) }
A sample set of XY pairs "Not" a
function { (5,2) (5,4) (5,8) }
f(x) = y or in
this case f(x) = 2x + 1 since y = 2x + 1
f(DOMAIN
independent value) = (RANGE dependent value)
In this example the range y = 2x + 1 |
This is a function, so... f(x) = 2x + 1 |
| EXAMPLE 1 when x = - 1: | EXAMPLE 2 when x = + 2: |
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Given; f(x) = 2x + 1 When; x = -1 then; f(-1) = 2(-1) + 1 so; f(-1) = - 2 + 1 and; f(-1) = -1 conclusion; f(x) = -1 when x = -1 |
Given; f(x) = 2x + 1 when; x = 2 then; f(2) = 2(2) + 1 so; f(2) = 4 + 1 and; f(2) = 5 conclusion; f(x) = 5 when x = 2 |
Also see.....
Equation manipulation of a straight line
Domain and Range Explained http://www.studycoach.com/alg/classnotes/functions/domain&range.html
Math Page
Math Books
Algebra
LINKS
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