Is this 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 does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify if the following set is a function: (1,2), (2,3), (1,4)

Back

Not a Function - The input '1' has two outputs (2 and 4).

Front

Identify if the following set is a function: (3,5), (4,6), (5,7)

Back

Function - Each input has a unique output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line crosses the graph at more than one point, it is not a function.

Front

Is the relation {(2,3), (3,4), (2,5)} a function?

Back

No, because the input '2' has two outputs (3 and 5).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

Identify if the following set is a function: (1,2), (2,2), (3,2)

Back

Function - Each input has a unique output, even though the outputs are the same.

Front

What is the definition of a domain in a function?

Back

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