Relations — definition?
Connections between elements of two sets via a rule.
Arrow diagram — purpose?
Visually represents relations with sets and arrows.
Ordered pairs — format?
(x, y), shows relation direction from x to y.
Domain — role?
Set of all possible input values.
Codomain — role?
Set of all potential output values.
Range — difference from codomain?
Actual outputs; subset of the codomain.
Function — key property?
Assigns exactly one output per input.
Input variables — also?
Independent variables, determine the output.
Output variables — also?
Dependent variables, depend on inputs.
Functional relationship — notation?
y = f(x), output as a function of input.
Multivariate functions — involve?
More than one independent variable.
Bivariate functions — involve?
Exactly two independent variables.
Linear functions — shape?
Straight line graph.
Quadratic functions — form?
Second-degree polynomial, parabola shape.
Polynomial functions — example?
Sum of powers of x, e.g., ax^n + ... + a0.
Exponential functions — form?
Variable as an exponent, e.g., a^x.
Logarithmic functions — inverse of?
Exponential functions, f(x) = log_a x.
Relation vs function — difference?
Functions assign one output; relations may assign many.
Directionality in relations?
From domain (input) to codomain (output).
Range — significance?
Set of actual outputs produced by the relation.
Teste tes connaissances avec un QCM de 10 questions sur Understanding Relations and Functions.
1. What is the primary role of ordered pairs in the context of relations between two sets?
2. Given the following data: (2, 5), (3, 7), (4, 9), (2, 6). Which of these sets correctly represents a function?
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