2025Function/Not a function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the definition of 'not a function'?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Given the set of ordered pairs {(1,2), (2,3), (3,4)}, is this a function?

Back

Yes, this is a function because each input (1, 2, 3) has a unique output (2, 3, 4).

Front

Given the set of ordered pairs {(1,2), (1,3), (2,4)}, is this a function?

Back

No, this is not a function because the input 1 is associated with two different outputs (2 and 3).

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 that function.

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 result from the function.

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 does it mean for a mapping to be a function?

Back

A mapping is a function if every input is paired with exactly one output.

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 an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output x^2.