Exploring Functions, Domain, and Range in Algebra 2

What is the definition of a function?

• A graph that fails the vertical line test.

• A relation where each domain is paired with multiple ranges.

• A relation where each domain is paired with only one range.

• A set of ordered pairs with repeating x-values.

Tags

CCSS.8.F.A.1

Which of the following is true about the domain of a function?

• It includes only positive values.

• It is the set of all y-values.

• It is always a finite set.

• It is the set of all x-values.

Tags

CCSS.HSF.IF.A.1

In the given example, why is the set of ordered pairs (1, a), (1, b), (1, c) not a function?

• Because the x-values are different.

• Because the y-values are different.

• Because the y-values are the same.

• Because the x-values are the same.

Tags

CCSS.8.F.A.1

What does the vertical line test determine?

• If a graph is continuous.

• If a graph represents a function.

• If a graph has holes.

• If a graph has repeating y-values.

How do you write the domain of a function in interval notation if it includes the point -4 but not 5?

• (-4, 5]

• [-4, 5)

• (-4, 5)

• [4, 5)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of a continuous graph that extends from -8 to 9, excluding -8?

• (-8, 9]

• [-8, 9]

• (-8, 9)

• [8, 9]

Tags

CCSS.HSA.REI.D.12

If a graph has arrows on both ends, what is its domain?

• All real numbers

• All negative numbers

• All integers

• All positive numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of a graph that extends from -6 to 7, including -6 but not 7?

• [-6, 7]

• (-6, 7]

• [-6, 7)

• (-6, 7)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Why is a graph with a hole at (3, 6) and an arrow extending downwards not a function?

• Because it has a hole.

• Because it has an arrow.

• Because it fails the vertical line test.

• Because it has a repeating y-value.

What is the range of a continuous graph that extends infinitely in both directions?

• All integers

• All real numbers

• All positive numbers

• All negative numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5