Free Printable WorksheetMathAlgebra IIMath CurriculumF-IF.4

ALG2.71 Completing Tables from Graphs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.71 Completing Tables from Graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.71 Completing Tables from Graphs - Read and generate input-output tables from function graphs, including estimating values when needed. Associated source-listed standards: CCSS F-IF.4; MP.5; CA CCSSM F-IF.4; MP.5; MA 2017 F-IF.4; MP.5; NY NGLS F-IF.4; MP.5; TX TEKS Algebra II: §111.40.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.71 Completing Tables from Graphs skill assessments:

Problem 1Difficulty: Mastery

A graph of BD is piecewise. It rises along a line from (-2, 3) to (1, 9), stays horizontal from (1, 9) to (4, 9), and then falls along a line from (4, 9) to (7, 0). Which option correctly completes the table if one row has x = 0, one row has x = 3, and one row has y = 3?

AWhen x = 0, y = 7; when x = 3, y = 9; when y = 3, x = -2 or x = 6

BWhen x = 0, y = 6; when x = 3, y = 9; when y = 3, x = -2 or x = 6

CWhen x = 0, y = 7; when x = 3, y = 8; when y = 3, x = -2 or x = 6

DWhen x = 0, y = 7; when x = 3, y = 9; when y = 3, x = 3 only

Solution & Explanation:On the first segment, the slope is 2, so x = 0 gives y = 7. The middle segment is horizontal at y = 9, so x = 3 gives 9. The output 3 occurs at the left endpoint (-2, 3) and again on the last segment at x = 6.

Problem 2Difficulty: Mastery

A piecewise graph of BC has three segments: from (-4, 8) to (-1, 2), open at x = -1; from (-1, 5) to (2, 11), closed at both endpoints; and from (2, 11) to (6, 3), open at x = 2. Which option correctly completes the table for x = -1, x = 0, and x = 2?

Ax = -1 gives y = 5; x = 0 gives y = 7; x = 2 gives y = 11

Bx = -1 gives y = 2; x = 0 gives y = 7; x = 2 gives y = 11

Cx = -1 gives y = 5; x = 0 gives y = 6; x = 2 gives y = 11

Dx = -1 gives y = 5; x = 0 gives y = 7; x = 2 gives y = 3

Solution & Explanation:Because the first segment is open at x = -1, the graph uses the second segment there, so y = 5. On the middle segment, x = 0 gives y = 7 and x = 2 gives y = 11.

Problem 3Difficulty: Mastery

The graph of BB is a V-shaped graph with vertex (4, -2) and point (6, 4). Which option gives the x-value or x-values that belong in the table when y = 7?

Ax = 4 and x = 7

Bx = 1 only

Cx = 7 only

Dx = 1 and x = 7

Solution & Explanation:Absolute value graphs are symmetric about x = 4. The outputs equal 7 at x = 1 and x = 7.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard F-IF.4 (Read and generate input-output tables from function graphs, including estimating values when needed. Associated source-listed standards: CCSS F-IF.4; MP.5; CA CCSSM F-IF.4; MP.5; MA 2017 F-IF.4; MP.5; NY NGLS F-IF.4; MP.5; TX TEKS Algebra II: §111.40.).