Oct 17 - domain and range

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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 does it mean if a relation is not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {1, -3, -4}.

Front

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

Back

The x-value represents the input of the function, which determines the corresponding output (y-value).

Front

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

Back

The y-value represents the output of the function, which is determined by the input (x-value).

Front

How do you find the domain of a function from a graph?

Back

To find the domain from a graph, identify all the x-values for which there are corresponding y-values.