Domain and Range of Graphs

Front

What is the definition of 'domain' in relation to graphs?

Back

The domain of a graph 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.B.5

Front

What is the definition of 'range' in relation to graphs?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does the notation [-3, 1) represent in terms of range?

Back

It indicates that the range includes -3 and all values up to, but not including, 1.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does the notation (-∞, ∞) represent in terms of domain?

Back

It indicates that the domain includes all real numbers, from negative infinity to positive infinity.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine the domain of a graph visually?

Back

The domain is determined by looking at the horizontal extent of the graph from left to right.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range of a graph visually?

Back

The range is determined by looking at the vertical extent of the graph from bottom to top.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

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

Back

The domain is [1, ∞) because the function is only defined for x values greater than or equal to 1.

Front

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

Back

The range is [0, ∞) because the output values (y-values) are always non-negative.

Front

What does the notation (a, b) signify in terms of intervals?

Back

It signifies an open interval that does not include the endpoints a and b.

Front

What does the notation [a, b] signify in terms of intervals?

Back

It signifies a closed interval that includes both endpoints a and b.

Tags

CCSS.6.EE.B.8