Is the relation a Function

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the domain of a relation?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a relation?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How can you determine if a relation is a function from a graph?

Back

A relation is a function if any vertical line drawn through the graph intersects it at most once.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each element in the domain is paired with exactly one element in the range.

Front

Identify the domain of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

Domain: {-6, 0, 2, 4}.

Front

Identify the range of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

Range: {14, 32, 38, 44}.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.

Front

Is the relation {(0,1), (1,-3), (2,-4), (-4,1)} a function?

Back

Yes, it is a function because each x-value is unique.

Front

Is the relation {(0,1), (1,-3), (1,-4), (-4,1)} a function?

Back

No, it is not a function because the x-value '1' is paired with two different y-values.