Free Printable WorksheetMathAlgebra IIMath CurriculumF-IF.7c–e

ALG2.74 Identifying End Behavior from Expressions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.74 Identifying End Behavior from Expressions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.74 Identifying End Behavior from Expressions - Identify end behavior from function structure (polynomial leading term, exponential base, rational degrees) and select the correct comparison to with graphs. Associated source-listed standards: CCSS F-IF.7c–e; CA CCSSM F-IF.7c–e; MA 2017 F-IF.7c–e; NY NGLS F-IF.7c–e; 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 ALG2.74 Identifying End Behavior from Expressions skill assessments:

Problem 1Difficulty: Mastery
Which rational function has the same end behavior as x3?
A(x8 - 1)/(-x4 + 2)
B(x5 + 1)/(x2 + 1) + 2
C(3x4 - 2)/(x6 + 5) + 4
D(-3x7 + 4)/(x4 + 1)
Solution & Explanation:The leading-term quotient is x3, so this rational function has the same left-down, right-up end behavior as x3.
Problem 2Difficulty: Mastery
Which simpler function has the same end behavior as h(x) = (2x4 - 5)/(x2 + 3) + 1?
A-2x
Bx
C2x2
D-x2
Solution & Explanation:The leading-term quotient is 2x2, and the +1 shift does not change the positive even end behavior. The leading-term quotient behaves like 2x2, so a matching comparison function is 2x2.
Problem 3Difficulty: Mastery
Which statement about y = -4(x - 5)3(x + 1)3 is true?
ABoth ends fall.
BThe graph falls on the left and rises on the right.
CBoth ends rise.
DThe graph rises on the left and falls on the right.
Solution & Explanation:The highest-degree parts multiply to -4x6, which is even degree with a negative coefficient, so both ends fall.

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Frequently Asked Questions

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QIs this ALG2.74 Identifying End Behavior from Expressions worksheet free for teachers and homeschoolers?

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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.7c–e (Identify end behavior from function structure (polynomial leading term, exponential base, rational degrees) and select the correct comparison to with graphs. Associated source-listed standards: CCSS F-IF.7c–e; CA CCSSM F-IF.7c–e; MA 2017 F-IF.7c–e; NY NGLS F-IF.7c–e; TX TEKS Algebra II: §111.40.).

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