Functions Test Review (Benson)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

A mapping is a function if each input is associated with exactly one output.

Front

What is an example of a non-function?

Back

A relation where an input is associated with multiple outputs, such as the relation {(1, 2), (1, 3)}.

Front

What notation is used to represent a function?

Back

Functions are typically represented using function notation, such as f(x), where 'f' is the function name and 'x' is the input.

Front

What is the vertical line test?

Back

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

Front

What is the significance of the output value f(-2) = -9?

Back

This indicates that when the input is -2, the output of the function is -9, demonstrating how to evaluate a function at a specific point.

Front

What does it mean if a table is not a function?

Back

If a table shows that one or more inputs correspond to multiple outputs, it is not a function.