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Advanced Algebra, y=k/x, y=k/x, y=kx, y=kx^2 - Coggle Diagram
Advanced Algebra
Functions
Language of Algebra
Variable: symbol that can be replaced by any value
Algebraic expression/Expression: When numbers and variables are combined
Algeabraic sentence: expressions related with a verb in a simbolic form
Formula: Equation stating that a single variable is equal to an expression
Equation: sentence that two expressions are equal
Relations and functions
Relations: any set of ordered pairs
Functions: any set of ordered pairs in which component x is exactly paired with an y
Function notation
Notation: F(x)
Graphs of functions
Domain: The range of x in a graph
Range: The range of y in a graph
Set-Builder notation
Variation and graphs
Inverse variation
y=k/x
y=k/x^2
Graph of y=kx
Rate of change: Slope of a line
Direct Variation
Constant of Variation: K
y=kx
y=kx^2
Graph of y=kx^2
Parabola: All graphs in the family of curves
y=k/x, y=k/x, y=kx, y=kx^2