Module I video
Definition of a Function
Learning Objectives
1. Use precise mathematical language to def
ine functions, domains, and ranges
2. Given mappings from one set to another, differentiate whether or not the mapping is a function
3. Find the domains of algebraically def
ined functions
Define
A function I a relation in which each input value maps to exactly one output value.
The set of input values is called the domain.
The set of output values is called the range
Examples
Sets of data points:
Graphs w/ points:
Equations:
Graphs of equations:
Word descriptions:
{
(-1,-1)(1,1)(2,8)(3,27)
}
{
(1,1)(2,4)(-2,4)(3,9)(-3,9)
}
{
(1,5)(1,7)(3,10)(4,15)
}
X=
{
set of all students in the class
}
Y=
{
each students favorite in the class
}
y=x^2
Y^2+x^2=9
Y=x^3
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