Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.7e (course model dependent)

ALG1.69 Graph Exponential Functions and Describe Key Features Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.69 Graph Exponential Functions and Describe Key Features. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.69 Graph Exponential Functions and Describe Key Features - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e (course model dependent). Skill statement in this prompt cell: Select the graph that represents exponential functions and identify intercepts and end behavior; Select the description that correctly explains effects of vertical shifts and stretches on the graph. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7e (course model dependent), F-IF.4-5; TEKS: §111.39(c)(9)(D-E); VA SOL: A.F.2 f; FL B.E.S.T.: MA.912.AR.5.6; NY-NGLS: AI-F.IF.7a (includes exponential form a(b)^x); CA CCSSM: F-IF.7 (includes exponential); MA 2017: HS.F-IF.7; DoDEA CCRSM; NAEP: Algebra--graphs; NCTM P2A: Practices 2, 7. 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 I

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 ALG1.69 Graph Exponential Functions and Describe Key Features skill assessments:

Problem 1Difficulty: Mastery
Which summary best describes y = -2(1/3)x + 8?
AIt has y-intercept 6, approaches y = 8 from below as x -> infinity, and decreases without bound as x -> -infinity.
BIt has y-intercept 8, approaches y = 6 from above as x -> infinity, and grows without bound as x -> -infinity.
CIt has no horizontal asymptote because the coefficient is negative.
DIt is a growth graph above asymptote y = -8 with y-intercept -6.
Solution & Explanation:The y-intercept is -2(1) + 8 = 6. Since the base is 1/3 and the coefficient is negative, the graph approaches y = 8 from below to the right and falls without bound to the left.
Problem 2Difficulty: Mastery
The graph y = a(3)x + k has horizontal asymptote y = -4 and y-intercept 11. What is a?
Solution & Explanation:The asymptote gives k = -4. At x = 0, a(1) - 4 = 11, so a = 15.
Problem 3Difficulty: Mastery
Which view in the planned graph image represents y = 2(4)x - 2?
AView A, growth with asymptote y = -2 and intercepts at (0, 0)
BView B, growth with asymptote y = 0 and y-intercept 2
CView C, decay with asymptote y = -2 and intercepts at (0, 0)
DView D, growth with asymptote y = 2 and y-intercept 4
Solution & Explanation:The graph is growth because the base is 4. Its asymptote is y = -2, and at x = 0 the value is 2 - 2 = 0, so both intercepts are at the origin.

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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 I Math students. It aligns with educational standard F-IF.7e (course model dependent) (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e (course model dependent). Skill statement in this prompt cell: Select the graph that represents exponential functions and identify intercepts and end behavior; Select the description that correctly explains effects of vertical shifts and stretches on the graph. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7e (course model dependent), F-IF.4-5; TEKS: §111.39(c)(9)(D-E); VA SOL: A.F.2 f; FL B.E.S.T.: MA.912.AR.5.6; NY-NGLS: AI-F.IF.7a (includes exponential form a(b)^x); CA CCSSM: F-IF.7 (includes exponential); MA 2017: HS.F-IF.7; DoDEA CCRSM; NAEP: Algebra--graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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