Functions, Functions, Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has exactly one output.

Front

What does it mean if a relation is 'not a function'?

Back

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

Front

What is an example of a function?

Back

An example of a function is the mapping of each student to their unique student ID.

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 the mapping of students to their favorite subjects, where multiple students can have the same favorite subject.

Front

How can you determine if a mapping is a function?

Back

You can determine if a mapping is a function by checking if each input corresponds to only one output.

Front

What is the vertical line test?

Back

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

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

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 one-to-one function?

Back

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