411 REFERENCE · Wikibooks
IB Maths Studies/Functions
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Functions as a mapping
relation - is a set of ordered pairs such as Q = {(2,3) (7,1) (8,3)}
function - is a relation is which no two different ordered pairs have the same X coordination
Domain - of a function is the set of independent values that are allowed
Range - of a function is the set of all dependent values that are allowed.
X = Domain
Y = Range
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)