Domain and Range (From Graphs)

Front

What is the definition of 'Domain' in 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 definition of 'Range' in a function?

Back

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

Front

How do you determine the domain from a graph?

Back

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

Front

How do you determine the range from a graph?

Back

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

Front

What does it mean if the domain is 'All real numbers'?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if the range is 'All real numbers'?

Back

It means that the function can produce any real number as an output.

Front

If a graph has a domain of {-5, -4, -3, -1}, what does this indicate?

Back

It indicates that the function is only defined for the x-values -5, -4, -3, and -1.

Front

If a graph has a range of -3 ≤ y < 1, what does this indicate?

Back

It indicates that the output values of the function are between -3 and 1, including -3 but not including 1.

Front

What is the domain of a function that is defined for x-values between -4 and 3?

Back

The domain is -4 ≤ x ≤ 3.

Front

What is the range of a function that outputs values between -7 and 5?

Back

The range is -7 < y < 5.