Domain and Range of Functions

Front

What is the definition of the domain of 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 the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Given the relation (2, 5), (3, 7), (4, 9), what is the domain?

Back

The domain is {2, 3, 4}.

Front

Given the relation (2, 5), (3, 7), (4, 9), what is the range?

Back

The range is {5, 7, 9}.

Front

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

Back

The domain is x ≥ 1.

Front

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

Back

The range is y ≥ 0.

Front

How do you find the range of a function from its graph?

Back

Identify the lowest and highest points on the y-axis that the graph reaches.

Front

What does it mean if a function has no restrictions on its domain?

Back

It means that the function is defined for all real numbers.

Front

What is the domain of the function f(x) = 1/(x - 3)?

Back

The domain is all real numbers except x = 3.

Front

What is the range of the function f(x) = 1/(x - 3)?

Back

The range is all real numbers except y = 0.