Domain & Range

Front

What is the definition of 'domain' in a relation?

Back

The set of all possible input values (x-values) for a function or relation.

Front

What is the definition of 'range' in a relation?

Back

The set of all possible output values (y-values) for a function or relation.

Front

What does the notation {x | x > 0} represent?

Back

The set of all x values that are greater than 0.

Front

If a function is defined as f(x) = 2x + 3, what is the domain?

Back

The domain is all real numbers, as there are no restrictions on x.

Front

If a function is defined as f(x) = 1/x, what is the domain?

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 greater than or equal to 0.

Front

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

Back

The range is all real numbers, as it can take any value.

Front

How do you find the range from a set of ordered pairs?

Back

Identify all the second elements (y-values) in the ordered pairs.

Front

What is the relationship between domain and range in a function?

Back

The domain consists of input values, while the range consists of output values derived from those inputs.

Front

What variable typically represents the range?

Back

y.