Ch4L2 Relations Flashcards
Concept: what does a relation mean?
A relation is a mathematical process or rules that maps elements from one set, called the domain, to another set (which could be the same set) called the range. When a relation is drawn as a graph, the domain is always on the x-axis and the range is always on the y-axis.
A function is a special type of relation, where every element of the domain maps to exactly one element of the range.
Concept: What does the Domain mean?
In algebra, Domain is simply the set of elements (which could be numbers or other values) which are used as input for a relation.
We also say that the domain is the independent variable.
Concept: What does the Range mean?
In algebra, Range is the set of elements (which could be numbers or other values) which are used as output for a relation.
We also say that the range is the dependent variable,
There are 4 ways to represent a relation, they are?
a Relation can be represented by: word statement, equation, table, or graph.
Definition: It costs $3 per hour to park at the Wild Wood Amusement park.
Represent the relation between parking fee and hours parked in a equation;
Definition: It costs $3 per hour to park at the Wild Wood Amusement park.
Represent the relation between parking fee and hours parked in a table;
Definition: It costs $3 per hour to park at the Wild Wood Amusement park.
Represent the relation between parking fee and hours parked in a graph;
Definition: It costs $3 per hour to park at the Wild Wood Amusement park.
What is the Domain and the Range in this case?
Definition: A movie rental store charges $4 per movie rental.
Represent the relation between rental cost and number of movies you rented in a equation;
Definition: A movie rental store charges $4 per movie rental.
Represent the relation between rental cost and number of movies you rented in a table;
Definition: A movie rental store charges $4 per movie rental.
Represent the relation between rental cost and number of movies you rented in a graph;
Definition: A movie rental store charges $4 per movie rental.
What is the Domain and the Range in this case?
Definition: At a vacation resort, you can rent a personal watercraft for $2 per hour plus a one-time insurance fee of $5.
Represent the relation between total cost and hours you rented in a equation;
Definition: At a vacation resort, you can rent a personal watercraft for $2 per hour plus a one-time insurance fee of $5.
Represent the relation between total cost and hours you rented in a table;
Definition: At a vacation resort, you can rent a personal watercraft for $2 per hour plus a one-time insurance fee of $5.
Represent the relation between total cost and hours you rented in a graph;
