Functions, Functions, Functions

Front

What is a function in mathematics?

Back

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

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

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

What does it mean for a graph to be a function?

Back

A graph is a function if every x value has exactly one corresponding y value.

Front

What is an input in the context of functions?

Back

An input is the value that is fed into a function, typically represented as x.

Front

What is an output in the context of functions?

Back

An output is the value that results from applying a function to an input, typically represented as y.

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 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.

Front

What is a one-to-one function?

Back

A one-to-one function is a function in which each output value is associated with exactly one input value.

Front

What is a constant function?

Back

A constant function is a function that always returns the same value regardless of the input.