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 a 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 a graph?

Back

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

Front

What is the domain of the relation { (1, 2), (3, 4), (5, 6) }?

Back

The domain is {1, 3, 5}.

Front

What is the range of the relation { (1, 2), (3, 4), (5, 6) }?

Back

The range is {2, 4, 6}.

Front

If a function is defined as f(x) = x^2, what is its domain?

Back

The domain is all real numbers, (-∞, ∞).

Front

If a function is defined as f(x) = √x, what is its domain?

Back

The domain is [0, ∞) because the square root is only defined for non-negative numbers.

Front

What is the range of the function f(x) = -x + 3?

Back

The range is all real numbers, (-∞, ∞).

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, which can be written as (-∞, 2) ∪ (2, ∞).