Relations and Determining Whether a Relation is a Function - Concept

Concept Concept (1)

Understanding relations (defined as a set of inputs and corresponding outputs) is an important step to learning what makes a function. A function is a specific relation, and determining whether a relation is a function is a skill necessary for knowing what we can graph. Determining whether a relation is a function involves making sure that for every input there is only one output.

Sample Sample Problems (7)

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Relations and Determining Whether a Relation is a Function - Problem 1

Find the domain and range. Determine whether the relation is a function.

{(6,-1),(4,3),(1,1),(4,2)}

Problem 1
How to find the domain and range and determine whether a relation is a function when given a set of ordered pairs.
Relations and Determining Whether a Relation is a Function - Problem 2

Find the domain and range. Determine whether the relation is a function.

Problem 2
How to find the domain and range and determine whether a relation is a function when given a mapping.
Relations and Determining Whether a Relation is a Function - Problem 3

Which of the following graphs respresent functions?

Problem 3
How to tell whether a graph represents a function.
Relations and Determining Whether a Relation is a Function - Problem 4
Problem 4
Identifying the domain and range from continuous and discrete graphs
Relations and Determining Whether a Relation is a Function - Problem 5
Problem 5
How to find the domain and range from a graph and use the vertical line test to see if a graph represents a function
Relations and Determining Whether a Relation is a Function - Problem 6
Problem 6
Finding the domain and range of a relation from a table, set of points, or map
Relations and Determining Whether a Relation is a Function - Problem 7
Problem 7
How to determine whether a relation is a function from a set of points, a mapping, or a graph