Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method 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 relation to be not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where 'x' is the input and 'y' is the output.

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a relationship that pairs each element of a set with an element of another set, often represented as a function.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, and it determines the corresponding y-value (output) based on the function's rule.

Front

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

Back

A one-to-one function is a function where each output (y-value) is paired with exactly one input (x-value), meaning no two different x-values map to the same y-value.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input (x-values) and output (y-values) of the function.

Front

What is a domain in the context of functions?

Back

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