First Partial Math Topics
Function and Relations
Cartigian Plane
Vertical and Horizontaal Lines
Relation
Dependent: y
Independent: x
Function
Vertical
Range: (-∞,∞)
PA Point: (-x,∞)
Slope undefined
No y intercept
Horizontal
Domain: All real numbers
Range is written in keys
Slope: 0
Points are written like (-∞,∞)
Diagonal Lines
Domain and Range: (∞,∞)
The values to solve are x and y
Distance: the measure between two coordinates
Midpoint: The place where two lines meet
Numerical Line: a straigth line that helps you to graph when in a function you only have a variable.
Domain: X
Range: Y
Inequality: 1<x<9
Interval: example (1,9)
Continuous Function: When the values in a set are later not separated in Cartigian planes, or numerical line.y
Discrete Function: When the values in a set are distinct and separate
Systems of Equations
Presentations
Standard: Ax+By=c
General form: Ax+By+C=0
Normal: y=mx+b
Absolute value: how far a number is from zero
Types of system
Solving for linear equations
Condition: y=7
Contradiction: 0=7
Identity: 7=7
Answer for clOse question: YES
Answer for closed question: NO
Graphs
Parallel lines: You keep your slope but change the y intercept
Perpendicular line: You change the slope to its reciprocal and change the sign, as for the y it doesn't matter
Linear functions:
slope--> The steepness of the line, its always constant and doesn't change.
y intercept--> Whats the value of y when x is 0
Properties
Real numbers
Multiplication: Closure, Commutative, Associative, Distributive, Identity, Inverse.
Addition : Closure, Commutative, Associative, Distributive, Identity, Inverse.
Equality numbers: Reflexive, Symmetry, Transitive, Substitution, Additive, Multiplicative.