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 table represents a function?

Back

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

Front

What does it mean if a mapping represents a function?

Back

A mapping represents a function if every element in the domain (input) is paired with exactly one element in the range (output).

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph, where 'x' is the input and 'y' is the output.

Front

How can you tell if ordered pairs represent a function?

Back

Ordered pairs represent a function if no two pairs have the same first element (x-value) with different second elements (y-values).

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

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

Back

A graph represents a function if each x-value has only one corresponding y-value.

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

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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