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Definition of relations and functions:
Definition of relations and functions:
A relation is a connection between members of one set and another.
A function (or mapping) is a special type of relation in which each member of the domain is paired with exactly one member of the codomain. All functions have related, but not all relations are functions.
Variations in Presenting relations
Variations in Presenting relations
1. Arrow Diagram:
A direct visual representation using closed curves and arrows to indicate relationships between elements of sets A and B.
2. Cartesian Diagram:
We have plotted coordinate points (x, y) on the horizontal axis (domain) and vertical axis (codomain) to display the distribution of data.
3. Set of Ordered Pairs:
A formal mathematical notation in the form {(a, 1), (b, 2), (c, 3)} used to practice precision in notation.
Example of Cartesian diagram.
Domain, Codomain, dan Range
Domain, Codomain, dan Range
Domain: The initial set.
Codomain: The set of possible targets.
Range: The members of the codomain that actually have a corresponding element in the domain.
Formula and value of a linear function
Formula and value of a linear function
Analyzing Output Patterns
Example: A shop sells pens for Rp3,000 each. If someone buys x pens and pays a bag fee of Rp2,000, determine the function formula and the price for 5 pens.
Formula: f(x) = ax + b
a = 3,000
b = 2,000
So: f(x) = 3,000x + 2,000
For 5 pens: f(5) = 3,000(5) + 2,000 = 17,000
Thus, the price for 5 pens is Rp17,000.
Concept comparison table:
Concept comparison table:
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