Functions

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if no two different inputs produce the same 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, then the curve is not a function.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the input and 'y' is the output of a function.

Front

How can you determine if a mapping is a function?

Back

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

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

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input and output values of the function.

Front

What is the significance of the x-coordinate in an ordered pair?

Back

The x-coordinate represents the input value in a function.

Front

What is the significance of the y-coordinate in an ordered pair?

Back

The y-coordinate represents the output value in a function.