Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

How can you determine if a mapping represents a function?

Back

A mapping represents a function if each input (x-value) is paired with exactly one output (y-value).

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent a point in a coordinate system.

Front

Do the ordered pairs (1, 2), (1, 3), (2, 4) represent a function?

Back

No, because the input '1' is associated with two different outputs (2 and 3).

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 intersects the graph at more than one point, it is not a function.

Front

Does the graph of a circle represent a function?

Back

No, because a vertical line can intersect the circle at two points.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

Does the table with the pairs (1, 2), (2, 3), (3, 4) represent a function?

Back

Yes, because each input has a unique output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is connected to its corresponding output.

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.