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Algebra 2 Functions Test

Authored by Rita Aleman

Mathematics

8th - 10th Grade

CCSS covered

Used 116+ times

Algebra 2 Functions Test
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This quiz focuses on functions and relations, covering essential foundational concepts that bridge algebra skills into more advanced function analysis. The questions assess students' ability to interpret multiple representations of relations, including graphs, ordered pairs, tables, and mapping diagrams. Students must demonstrate proficiency in identifying domain and range from various representations, understanding the connection between different ways to express the same mathematical relationship, and applying the formal definition of a function to determine whether a given relation qualifies as a function. The complexity level and mathematical reasoning required align with grade 9-10 coursework, as students work with interval notation, inequality symbols, and multi-step analytical thinking to extract information from graphical representations and translate between different mathematical formats. Created by Rita Aleman, a Mathematics teacher in the US who teaches grades 8 and 10. This assessment serves multiple instructional purposes throughout the learning cycle, from initial concept introduction to summative evaluation. Teachers can deploy this quiz as a diagnostic tool during warmup activities to gauge student readiness, assign it as structured practice to reinforce newly taught concepts, or implement it as formative assessment to identify areas requiring additional instruction before advancing to more complex function operations. The quiz effectively supports homework assignments by providing immediate feedback on fundamental skills, while also functioning as review material before unit tests or standardized assessments. The content directly aligns with Common Core standards A-REI.10 for understanding graphs of equations and F-IF.1 for recognizing functions as mathematical relationships, making it an essential component of any comprehensive functions curriculum.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which set of ordered pairs represents the relation shown in the graph?

{(3, -5), (-2, 0), (2, 0), (-1, 1), (3, 5)}

{(5, -3), (2, 0), (0, -2), (-1, 1), (-3, -5)}

{(-5, 3), (0, -2), (2, 0), (1, -1), (3, 5)}

{(-5, 3), (-2, 0), (0, 2), (1, -1), (3, 5)}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Which table represents the relation shown in the graph?

x | y

5 | 3

-1 | 1

2 | 0

0 | -2

3 | -5

x | y

1 | -1

0 | -2

2 | 0

-5 | 3

3 | 5

x | y

-5 | 3

-2 | 0

0 | 2

1 | -1

3 | 5

x | y

3 | 5

-1 | 1

0 | -2

0 | 2

-5 | 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the domain of the relation shown in the graph above?

{0, 1, 2, -2, 3}
{1, 3, 0, -2, -5}
{0, 2, -1, 3, 5}
{-5, -2, 2,-1, 3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.B.4

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the range of the relation shown in the graph above?

{2, 0, 3, -1, 5}
{0, 1, 3, -2, -5}
{-2, 2, -1, 5, 3}
{2, 0, -1, -5, 3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which mapping represents the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?

A
B
C
D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement is true about the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?

The relation is NOT a function because all the y-values are not different.
The relation is NOT a function because all the x-values are not different.
The relation is a function because the y-values are different.
The relation is a function because all the x-values are different.

Tags

CCSS.8.F.A.1

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the domain of the graph shown?

-2 < y ≤ 6
-6 ≤ x < -2
-6 < y ≤ 6
-6 < x ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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