Domain and Range

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 of a function from its graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

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 covers.

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 all real numbers y such that y ≥ 0.

Front

Given the points (2, 3), (4, 5), and (6, 7), what is the range of the function?

Back

The range is {3, 5, 7}.

Front

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

Back

The domain is all real numbers x such that x ≥ 0.

Front

If a function has a domain of {-2, 0, 3}, what are the possible x-values?

Back

The possible x-values are -2, 0, and 3.

Front

What is the range of the function f(x) = x + 1 when the domain is {1, 2, 3}?

Back

The range is {2, 3, 4}.