Domain and Range in Interval Notation

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 does it mean if a function has a restricted domain?

Back

A restricted domain means that not all x-values are valid inputs for the function, often due to limitations in the function's definition.

Front

What is an example of a function with a restricted domain?

Back

The square root function, f(x) = √x, has a restricted domain of x ≥ 0.

Front

What is an example of a function with a restricted range?

Back

The function f(x) = 1/x has a range of all real numbers except 0.

Front

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

Back

The domain of f(x) = x^2 is all real numbers, (-∞, ∞).

Front

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

Back

The range of f(x) = x^2 is all real numbers greater than or equal to 0, [0, ∞).

Front

How can you express the domain of a function using interval notation?

Back

Interval notation uses brackets and parentheses to denote the set of x-values. For example, [-3, 1) means x can be between -3 and 1, including -3 but not 1.