Domain and Range Practice

Front

What is 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 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 from a graph?

Back

To determine the domain from a graph, read the graph from left to right and identify all x-values that have corresponding y-values.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What does it mean if a function has a restricted domain?

Back

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

Tags

CCSS.HSF-BF.B.4D

Front

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

Back

The square root function, f(x) = √x, has a domain of x ≥ 0 because you cannot take the square root of a negative number.

Tags

CCSS.HSF-BF.B.4D

Front

What is the difference between open and closed intervals in domain and range?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Tags

CCSS.HSA.REI.D.12

Front

Identify the domain of the relation: (-6,14), (0,32), (2,38), (4,44).

Back

The domain is -6, 0, 2, 4.

Front

Identify the range of the relation: (-6,14), (0,32), (2,38), (4,44).

Back

The range is 14, 32, 38, 44.

Front

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

Back

The domain is all real numbers except x = 3, since the function is undefined at that point.

Front

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

Back

The range is all real numbers y such that y ≥ 0, since the output of a square function is always non-negative.