Domain, Range, and End Behavior

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The set of all values of the dependent variable (y-values) that a function can take.

Front

Define end behavior in the context of functions.

Back

End behavior describes the values of a function as the independent variable approaches positive or negative infinity.

Front

What does the notation [a, b) represent in terms of range?

Back

It represents a range that includes 'a' but does not include 'b'.

Front

What does the notation (a, b) represent in terms of range?

Back

It represents a range that does not include 'a' and 'b'.

Front

What is the difference between domain and range?

Back

Domain refers to the set of x-values, while range refers to the set of y-values.

Front

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

Back

The domain can be determined by identifying all the x-values for which the graph exists.

Front

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

Back

The range can be determined by identifying all the y-values that the graph reaches.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) because the output is always non-negative.