Function Tables and Relations/Functions Review

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

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

Back

If a mapping is not a function, it means that at least one input (x-value) is associated with more than one output (y-value).

Front

Given the relation {(1, 2), (2, 3), (1, 4)}, is it a function?

Back

No, it is not a function because the input '1' is associated with two outputs (2 and 4).

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 is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input '1' has two different outputs.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values, while range refers to the set of output values.