Finding the Domain and Range

Front

What is the input in a function?

Back

The input is the value that is put into a function, often represented as 'x'.

Front

What is the DOMAIN of a function?

Back

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

Front

How do you determine the domain of a graph?

Back

To determine the domain, identify the x-values that the graph covers.

Front

How do you determine the range of a graph?

Back

To determine the range, identify the y-values that the graph covers.

Front

What does it mean if a function has a domain of {-3, -2, -1, 0, 1, 2, 3}?

Back

It means the function is only defined for these specific input values.

Front

What does it mean if a function has a range of y ≤ 9?

Back

It means the output values of the function can be any number less than or equal to 9.

Front

What is an example of a function with a domain of -4 ≤ x ≤ 3?

Back

An example is f(x) = x^2, where x is restricted to the interval from -4 to 3.

Front

What is an example of a function with a range of y ≥ -1?

Back

An example is f(x) = x^2 - 1, which has a minimum value of -1.

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals indicate that the endpoints are included in the set of values.