Domain and Range

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

What does it mean if a function has a domain of {1, 3, 4, 6}?

Back

The function is defined only for the input values 1, 3, 4, and 6.

Front

What does it mean if a function has a range of {-2, 2, 5}?

Back

The output values of the function can only be -2, 2, or 5.

Front

How do you determine the domain of a function from a set of points?

Back

Identify all the unique x-values from the given points.

Front

How do you determine the range of a function from a set of points?

Back

Identify all the unique y-values from the given points.

Front

What is the domain of the function represented by the points (2, 4), (5, 5), (8, 6), (11, 7)?

Back

{2, 5, 8, 11}

Front

What is the range of the function represented by the points (2, 4), (5, 5), (8, 6), (11, 7)?

Back

{4, 5, 6, 7}

Front

If a function has a domain of all real numbers, what does that imply?

Back

The function can accept any real number as an input.

Front

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

Back

f(x) = sqrt(x) has a domain of x >= 0.