Domain and Range of Functions

Front

What is the definition of 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 definition of 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

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph exists. Look for any breaks, holes, or vertical asymptotes.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph reaches. Look for the highest and lowest points on the graph.

Front

Back

The domain is all real numbers except x = 0.

Front

Back

The range is all real numbers greater than or equal to 0, or @@y ge 0@@.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function is defined for every possible x-value.

Front

What does it mean if a function has a range of all real numbers?

Back

It means that the function can produce every possible y-value.

Front

Back

The domain is all real numbers greater than or equal to 0, or @@x ge 0@@.

Front

Back

The range is all real numbers greater than or equal to 0, or @@y ge 0@@.