Function
Pairing between two sets in which each element of the first set is paired with one element of the second set
Relation
Pairing between two sets
Independent variables
Input
Dependant variables
Output
Discrete graph
Isolated points, example: number people, amounts of money
Continuous graph
Connected points, example: time since league, number of gallons on floor
Onto functions
All elements of the range is used in a pairing with elements of domain
1-1 Functions
Each element of domain is paired with unique element of range
Is function linear?
If to the first power, the graph will be a line
Increasing function
As X increases, Y increases
Decreasing function
As X increases, Y decreases
Constant rate of change
Slope
Slope-intercept form
y=m x+ b
Modified point slope form
y=m (x-x1) +y1
Parallel lines
Have the same slope, all vertical lines
Perpendicular lines
The product of slope is -1, slopes are opposite reciprocals