Free Printable WorksheetMathAlgebra IIMath CurriculumF-BF.4a

ALG2.87 Interpreting Inverse Relationships on 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 ALG2.87 Interpreting Inverse Relationships on Graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.87 Interpreting Inverse Relationships on Graphs - Select the correct use of symmetry about y = x to select the correct interpretation of inverse graphs and identify corresponding input-output pairs. Associated source-listed standards: CCSS F-BF.4a; CA CCSSM F-BF.4a; MA 2017 F-BF.4a; NY NGLS F-BF.4a; 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

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Below are sample questions representative of the exercises included on this worksheet and related ALG2.87 Interpreting Inverse Relationships on Graphs skill assessments:

Problem 1Difficulty: Mastery
The graph of f contains the points {(2, 11), (5, 5), (9, 4)}. What is the sum of the x-values of the corresponding points on the inverse graph?
Solution & Explanation:The inverse points are (11, 2), (5, 5), and (4, 9). Their x-values are 11, 5, and 4, which sum to 20.
Problem 2Difficulty: Mastery
A one-to-one graph has domain [-4, 6], range [1, 9], and includes the point (2, 7). Which description of the inverse graph is correct?
Adomain [-4, 6], range [1, 9], point (2, 7)
Bdomain [1, 9], range [-4, 6], point (7, 2)
Cdomain [1, 9], range [-4, 6], point (2, 7)
Ddomain [-4, 6], range [1, 9], point (7, 2)
Solution & Explanation:The inverse graph swaps the original domain and range and swaps the coordinates of the point (2, 7) to (7, 2).
Problem 3Difficulty: Mastery
The graph of f shows that 2 -> 9, 5 -> 13, and 8 -> 20. What is f^-1(13)?
A13
B5
C8
D20
Solution & Explanation:The inverse asks which original input produced 13. The original graph shows 5 -> 13, so f^-1(13) = 5.

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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-BF.4a (Select the correct use of symmetry about y = x to select the correct interpretation of inverse graphs and identify corresponding input-output pairs. Associated source-listed standards: CCSS F-BF.4a; CA CCSSM F-BF.4a; MA 2017 F-BF.4a; NY NGLS F-BF.4a; TX TEKS Algebra II: §111.40.).

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