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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

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

Back

The domain can be determined by identifying the x-values that the graph covers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

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

Back

The range can be determined by identifying the y-values that the graph covers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.

Front

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

Back

The range is {y | y ≥ 0}.

Front

For the function f(x) = √(x-1), what is the domain?

Back

The domain is {x | x ≥ 1}.

Front

For the function f(x) = 3x + 2, what is the domain?

Back

The domain is all real numbers.

Front

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

Back

The range is {y | y ≤ 0}.

Front

If a function has a domain of {1, 2, 3, 4}, what can be said about its range?

Back

The range can vary depending on the function's outputs for those inputs.