8.5G 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 does it mean for y to be a function of x?

Back

It means that for every x-value, there is exactly one corresponding y-value.

Front

What is the vertical line test?

Back

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 is a mapping in the context of functions?

Back

A mapping shows how each element in the domain (x-values) is paired with an element in the range (y-values).

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that the function can produce.

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, but each x-value must correspond to only one y-value.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for each x-value, there is one unique y-value.

Front

What is not a function?

Back

A relation where at least one x-value corresponds to more than one y-value is not a function.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each x-value is unique and corresponds to only one y-value.