STAAR-Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

How do you determine the Domain of a linear function?

Back

Identify the x-values that the function can take, considering any restrictions such as vertical asymptotes or undefined points.

Front

How do you determine the Range of a linear function?

Back

Identify the y-values that the function can take, based on the output of the function for the given domain.

Front

What does it mean for a relation to be a function?

Back

Each input (x-value) must have exactly one output (y-value).

Front

If a function has the Domain -3 < x ≤ 5, what does this mean?

Back

The function is defined for all x-values greater than -3 and up to and including 5.

Front

If a function has the Range 1 ≤ y ≤ 5, what does this mean?

Back

The output values of the function are between 1 and 5, inclusive.

Front

What is an example of a function that is not a function?

Back

A relation where an x-value is paired with multiple y-values, such as {(1, 2), (1, 3)}.

Front

What is the Range of the set of values {0, 4, 7}?

Back

The Range is the set of output values, which in this case is {0, 4, 7}.

Front

How can you express the Range of a function graphically?

Back

By identifying the lowest and highest points on the y-axis that the graph reaches.