Domain and Range FLASHCARD

Front

What is the definition of 'domain' in a relation?

Back

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

Front

What is the definition of 'range' in a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers, including any restrictions.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers, including any restrictions.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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 greater than or equal to 0, since x^2 cannot be negative.

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 context of the problem.

Tags

CCSS.HSF-BF.B.4D

Front

What is the domain of the function f(x) = sqrt(x)?

Back

The domain is all real numbers x such that x ≥ 0, since the square root of a negative number is not defined in the real number system.

Front

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

Back

The range is all real numbers, since as x takes on all real values, -x will also take on all real values.

Front

How can you express the domain of a function using interval notation?

Back

Interval notation uses brackets and parentheses to describe the set of x-values. For example, [a, b) means x is between a and b, including a but not b.