Relations and Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Which mapping diagram is not a function?

Back

A mapping diagram is not a function if any input is associated with more than one output.

Front

Is this table a function or not a function?

Back

A table represents a function if each input corresponds to exactly one output.

Front

Is this a function?

Back

Yes, a relation is a function if every input has a unique output.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {-4, 0, 1, 2}; Range: {-4, -3, 1}.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

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.