Domain and Range

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 determine the domain of a function given its graph?

Back

To determine the domain from a graph, identify the x-values for which the graph has points. The domain is the interval of these x-values.

Front

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

Back

The domain is all real numbers except x = 0, or in interval notation: (-∞, 0) ∪ (0, ∞).

Front

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

Back

The range is all non-negative real numbers, or in interval notation: [0, ∞).

Front

How do you find the domain of a relation given in a table?

Back

The domain is found by listing all the unique x-values from the ordered pairs in the table.

Front

What is the domain of the function defined by the points {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The domain is {0, 1, 2, -4}.

Front

What is the range of the function defined by the points {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The range is {1, -3, -4}.

Front

What does the notation [-4, 3] represent in terms of domain?

Back

It represents a closed interval where x can take any value from -4 to 3, inclusive.

Front

What is the significance of the interval notation (0, +∞)?

Back

It indicates that the domain includes all real numbers greater than 0, but not including 0 itself.