Domain and Range of Functions

Front

What is the DOMAIN of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the DOMAIN from a graph?

Back

Identify the x-values that the graph covers; these values form the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the RANGE from a graph?

Back

Identify the y-values that the graph covers; these values form the range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

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

Back

[0, ∞) because the square root function is only defined for non-negative x.

Front

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

Back

[0, ∞) because the output of the square root function is always non-negative.

Front

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

Back

(-∞, 0) ∪ (0, ∞) because the function is undefined at x = 0.

Front

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

Back

(-∞, 0) ∪ (0, ∞) because the function can produce all real numbers except 0.

Front

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

Back

(-∞, ∞) because the function is defined for all real numbers.

Front

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

Back

[0, ∞) because the output of the square function is always non-negative.