Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method used 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

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 does it mean for a mapping to be a function?

Back

A mapping is a function if every 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)}, is not a function.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input value (x) corresponds to exactly one output value (y).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

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.