Free Printable WorksheetMathGrade 8Math Curriculum8.F.B.5

8.110 Describing Qualitative Features of Function Graphs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.110 Describing Qualitative Features of Function Graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.110 Describing Qualitative Features of Function Graphs - Which description best matches the graph's qualitative features (increasing, decreasing, constant, linear, nonlinear)? (CCSS 8.F.B.5; CA 8.F.B.5; MA 8.F.B.5)

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

Grade 8

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 8.110 Describing Qualitative Features of Function Graphs skill assessments:

Problem 1Difficulty: Hard
A table gives x-values 0, 1, 2, 3, 4, 5, 6 and y-values 3, 6, 9, 9, 7, 5, 5. Which full description is correct?
Athe graph increases from x = 0 to x = 2, is constant from x = 2 to x = 3, decreases from x = 3 to x = 5, and is constant from x = 5 to x = 6
Bthe graph decreases from x = 0 to x = 2, is constant from x = 2 to x = 3, increases from x = 3 to x = 5, and is constant from x = 5 to x = 6
Cthe graph is increasing linearly from x = 0 to x = 6
Dthe graph is constant because it has two flat pieces
Solution & Explanation:The outputs rise to 9, stay at 9, then drop to 5, and stay at 5. That gives increasing, constant, decreasing, and constant intervals in order.
Problem 2Difficulty: Hard
Function A is y = 2x + 1. Function B has table x: 0, 1, 2, 3 and y: 1, 2, 4, 7. Function C is a horizontal line at y = -3. Which function is increasing but nonlinear?
AFunction A
BFunctions A and C
CFunction C
DFunction B
Solution & Explanation:Function A is increasing linear, Function C is constant, and Function B has growing first differences, so it is increasing nonlinear.
Problem 3Difficulty: Hard
If a function includes the points (-3, 0), (-2, 2), (-1, 4), (0, 4), (1, 1), which graph description fits best?
Athe graph is constant because two adjacent y-values are the same
Bthe graph decreases from x = -3 to x = -1 and then increases
Cthe graph increases from x = -3 to x = -1, is constant from x = -1 to x = 0, and decreases from x = 0 to x = 1
Dthe graph is linear and increasing over all shown points
Solution & Explanation:The y-values go 0, 2, 4, 4, 1. So the graph rises, stays flat briefly, and then falls.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.F.B.5 (Primary standard selected for prompt fields: CCSS 8.F.B.5. Skill statement: Which description best matches the graph's qualitative features (increasing, decreasing, constant, linear, nonlinear)? Associated standards listed with this skill: CCSS 8.F.B.5; CA 8.F.B.5; MA 8.F.B.5. Use this embedded wording as the best available supporting standard description for this workflow.).

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