Domain and Range Review

Front

What is the definition of 'Domain' in mathematics?

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 mathematics?

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 find the domain of a function from a graph?

Back

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

Front

How do you find the range of a function from a graph?

Back

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

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that not all x-values are valid inputs for the function, often due to limitations like division by zero or square roots of negative numbers.

Front

What is an example of a function with a restricted domain?

Back

The function f(x) = 1/(x-2) has a restricted domain because x cannot equal 2.

Front

What is an example of a function with a restricted range?

Back

The function f(x) = x^2 has a restricted range of y ≥ 0, as it cannot produce negative values.

Front

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

Back

The domain is x ≥ 1, since the expression under the square root must be non-negative.

Front

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

Back

The range is y ≤ 0, as the function produces only non-positive values.

Front

How can you determine the domain and range from a table of values?

Back

The domain is the set of all x-values listed in the table, and the range is the set of all corresponding y-values.