Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a mapping represents a function?

Back

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

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 straight line represent a function?

Back

Yes, as long as it is not vertical.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph.

Front

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

Back

Yes, because each x-value is unique.

Front

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

Back

No, because the x-value 1 is paired with two different y-values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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.