Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.183

Pre CAL.183 Continuity and Types of Discontinuity Worksheet

Download our free printable Pre-Calculus Math worksheet on Pre CAL.183 Continuity and Types of Discontinuity. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Continuity and Types of Discontinuity Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.183 Continuity and Types of Discontinuity. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.183 Continuity and Types of Discontinuity - Continuity and Types of Discontinuity

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

Pre-Calculus

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 Pre CAL.183 Continuity and Types of Discontinuity skill assessments:

Problem 1Difficulty: Mastery

Consider T(x)=1 divided by (√(x-5)). At x=5, which statement is correct?

AThe function is continuous at the point

BJump discontinuity

CInfinite discontinuity (vertical asymptote)

DRemovable discontinuity (a hole)

Solution & Explanation:As x approaches 5 from the right, √(x−5)→0⁺, so 1 divided by √(x−5) grows without bound. That behavior is an infinite discontinuity (vertical asymptote at 5).

Problem 2Difficulty: Mastery

Consider S(x)=cos(1 divided by (x-2)) for x ≠ 2, with no value defined at x=2. At x=2, which statement is correct?

AInfinite discontinuity (vertical asymptote)

BOscillating discontinuity

CThe function is continuous at the point

DRemovable discontinuity (a hole)

Solution & Explanation:As x→2, 1 divided by (x−2) becomes arbitrarily large in magnitude, so cos(1 divided by (x−2)) keeps oscillating and does not settle to one limit. That is an oscillating discontinuity.

Problem 3Difficulty: Mastery

Consider R(x)=sec(x). At x=π/2, which statement is correct?

AJump discontinuity

BRemovable discontinuity (a hole)

CThe function is continuous at the point

DInfinite discontinuity (vertical asymptote)

Solution & Explanation:sec(x)=1 divided by cos(x). Since cos(π/2)=0, sec(x) has a vertical asymptote at π/2, so the discontinuity is infinite.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this Pre CAL.183 Continuity and Types of Discontinuity worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this Pre CAL.183 Continuity and Types of Discontinuity worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice Pre CAL.183 Continuity and Types of Discontinuity online with instant feedback?

Yes! In addition to this printable worksheet, students can practice Pre CAL.183 Continuity and Types of Discontinuity interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Pre-Calculus Math students. It aligns with educational standard Pre-CAL.183 (Continuity and Types of Discontinuity).