Domain and Range rti

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

How do you determine the Domain of a function from its graph?

Back

By observing the x-values that the graph covers from left to right.

Front

What does interval notation (a, b) represent?

Back

An open interval where 'a' and 'b' are not included.

Front

What does interval notation [a, b] represent?

Back

A closed interval where 'a' and 'b' are included.

Front

What does interval notation (a, b] represent?

Back

A half-open interval where 'a' is not included and 'b' is included.

Front

What does interval notation [a, b) represent?

Back

A half-open interval where 'a' is included and 'b' is not included.

Front

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

Back

The domain is (-∞, 0) U (0, ∞) because x cannot be 0.

Front

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

Back

The range is [0, ∞) because the output is always non-negative.

Front

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

Back

The domain is [0, ∞) because x must be non-negative.