Functions

From KstructIB

Contents 1 Relations 2 Types Of Relation (x to y) 3 Relation Properties 4 Cartesians Plane 5 Functions

[edit] Relations

• X = Domain
• Y = Range

[edit] Types Of Relation (x to y)

• One to one
• One to many
• Many to one
• Many to many

[edit] Relation Properties

• Linear: y = mx + c; (Straight Line)
• Quadratic: y = ax^2 + bx + c; (Parabola)
• Polynomial: y = ax^3 + bx^2 + cx + d; (Cubic)
• Exponential: y = a * b^(k*x) + c; (Exponential)
• Reciprocal: y = (a / (x – b) + c; (Rectangular Hyperbola)
• Square Root: y = a √(x) + b; (Sideways Parabola)
• Reciprocal Squared y = (a / (x – b)^2) + c; (Truncus)
• Circular: r^2 = (x – a)^2 + (y - b); (Circle)

[edit] Cartesians Plane

• Quadrant 1 = (x, y)
• Quadrant 2 = (-x, y)
• Quadrant 3 = (-x, -y)
• Quadrant 4 = (x, -y)

[edit] Functions

• All Functions are Relations but every Relation is not a Function.

Absolute Value Functions: y = |x| = √x^2

• + x if x > 0
• - x if x < 0