Free Printable WorksheetMathAlgebra IIMath CurriculumF-IF.7d

ALG2.137 Matching Rational Functions to 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 ALG2.137 Matching Rational Functions to Graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.137 Matching Rational Functions to Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7d. Skill statement in this prompt cell: Match an equation to a graph using intercepts, asymptotes, and hole locations as evidence. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7d; CA CCSSM F-IF.7d; MA 2017 F-IF.7d; NY NGLS F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.

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 ALG2.137 Matching Rational Functions to Graphs skill assessments:

Problem 1Difficulty: Mastery

The plotted rational function has no open circle, has vertical asymptote x = -1, and has slant asymptote y = -2x - 18. It crosses at x = -6 and x = -4. Match the equation.

Ay = -2*(x + 6)*(x + 4)/(x - 1)

By = -2*(x + 6)*(x + 3)/(x + 1)

Cy = -2*(x + 6)*(x + 4)/(x + 1)

Dy = -2*(x + 6)*(x + 4)*(x - 2)/((x + 1)*(x - 2))

Solution & Explanation:With no canceled factor, the denominator factor (x + 1) creates vertical asymptote x = -1. The numerator factors (x + 6) and (x + 4) give the x-intercepts. Dividing the quadratic numerator by (x + 1) gives the slant asymptote y = -2x - 18.

Problem 2Difficulty: Mastery

A graph has oblique asymptote y = 3x - 6, vertical asymptote x = -2, and no canceled factor. Its x-intercepts are (-6, 0) and (6, 0). Choose the equation.

Ay = 3*(x + 6)*(x - 6)*(x - 1)/((x + 2)*(x - 1))

By = 3*(x + 6)*(x - 6)/(x + 2)

Cy = 3*(x + 6)*(x - 7)/(x + 2)

Dy = 3*(x + 6)*(x - 6)/(x + 1)

Solution & Explanation:With no canceled factor, the denominator factor (x + 2) creates vertical asymptote x = -2. The numerator factors (x + 6) and (x - 6) give the x-intercepts. Dividing the quadratic numerator by (x + 2) gives the slant asymptote y = 3x - 6.

Problem 3Difficulty: Mastery

Which equation should be matched to a graph with vertical asymptote x = -6, slant asymptote y = -x + 13, no hole, and x-intercepts (1, 0) and (6, 0)?

Ay = -1*(x - 1)*(x - 6)*(x + 4)/((x + 6)*(x + 4))

By = -1*(x - 1)*(x - 6)/(x + 5)

Cy = -1*(x - 1)*(x - 6)/(x + 6)

Dy = -1*(x - 1)*(x - 7)/(x + 6)

Solution & Explanation:With no canceled factor, the denominator factor (x + 6) creates vertical asymptote x = -6. The numerator factors (x - 1) and (x - 6) give the x-intercepts. Dividing the quadratic numerator by (x + 6) gives the slant asymptote y = -x + 13.

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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.7d (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7d. Skill statement in this prompt cell: Match an equation to a graph using intercepts, asymptotes, and hole locations as evidence. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7d; CA CCSSM F-IF.7d; MA 2017 F-IF.7d; NY NGLS F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.).