search
search
user.png
vertical menu
Teacher Tools > Lesson Plans > Lesson Plans By Subject > Math Lesson Plans

Types of discontinuities

Types of discontinuities preview
Types of discontinuities preview
Types of discontinuities video preview 2
display-video

Look Inside · 9 pages

Lesson cover titled 'Types of Discontinuities' with the objective of describing three kinds of discontinuities
Opening slide and lesson objective
Lesson overview defines removable, infinite, and jump discontinuities, with a graph illustrating each type
Overview of the three discontinuity types
Lesson slide uses limits and graphs to define removable, jump, and infinite discontinuities at x = a
Limit definitions for the three types
Worked example classifies f(x) = (x² − 9)/(x − 3) at x = 3 as removable, with an undefined value and limit 6
Worked example: removable discontinuity
Worked piecewise function example calculates f(2) = 0 and one-sided limits of 0 and 4 to identify a jump
Worked example: jump discontinuity
Worked example classifies f(x) = (x + 1)/(x − 5) at x = 5 as an infinite discontinuity using one-sided limits
Worked example: infinite discontinuity
Lesson slide defines continuity on open, closed, and half-open intervals, including endpoint conditions
Definitions of continuity over an interval
Worked interval example factors the denominator of f(x) = (x − 1)/(x² + 2x), excluding −2 and 0 from its domain
Rational function: intervals of continuity
Worked interval example identifies [−2, 2] as the interval of continuity for the function f(x) = √(4 − x²)
Square root function: a closed interval
Attributes
Subject

Math, Calculus

Grades

Grade 12

Types

Teacher Tools, Lesson Plans

File

Microsoft PowerPoint

Editable
No
Author
Maths Support Centre
Rating
Add To Collection
Add to collection Add to collection

About This Product

PowerPoint presentation, 10 slides explaining how To describe three kinds of discontinuities:  Removable discontinuities, Infinite discontinuities jump discontinuities

What's Included

PowerPoint presentation, 10 slides

Resource Tags

calculus precalculus types of discontinuities

0 Reviews

Explore related searches
you may also like...

Check out these other great products

Infinite Limits
Infinite Limits
Add to collection Add to collection
Download product
Limits at infinity - Polynomial functions. Worksheet
Limits at infinity - Polynomial functions. Worksheet
Worksheets & Printables, Worksheets
Add to collection Add to collection
Download product
Limits at infinity - transcendental functions - Worksheet
Limits at infinity - transcendental functions - Worksheet
Worksheets & Printables, Worksheets
Add to collection Add to collection
Download product
Infinite Limits Worksheet – Calculus Practice
Infinite Limits Worksheet – Calculus Practice
Worksheets & Printables, Worksheets
Add to collection Add to collection
Download product
Introduction to the concept of limits
Introduction to the concept of limits
Add to collection Add to collection
Download product
Rate of change
Rate of change
Teacher Tools, Lesson Plans
Add to collection Add to collection
Download product