ap calculus - unit 1: continuity & discontinuities

timestamps

• 0:00

  Introduction to Continuity

• 0:30

  Analyzing First Graph

• 1:02

  Confirming Continuous Graph

• 1:33

  Analyzing Graph with Holes

• 2:04

  Confirming Discontinuous Graph

• 2:35

  Analyzing Absolute Value Graph

• 3:06

  Calculus Definition of Continuity

• 3:37

  Limit Existence Requirements

• 4:39

  Limit Equals Function Value

• 5:41

  Testing Continuity at Points

• 6:44

  Continuity at x=0

• 7:14

  Discontinuity at x=-2

• 8:50

  Points of Continuity

• 9:50

  Continuity in Absolute Value

• 10:54

  Types of Functions Overview

• 11:25

  Polynomial Functions Continuity

• 13:00

  Trigonometric Functions Continuity

• 14:03

  Trig Functions with Asymptotes

• 15:08

  Rational Functions Continuity

• 16:42

  Piecewise Functions Analysis

• 19:51

  Summary of Function Continuity

• 21:25

  Reviewing Continuity Definition

• 22:28

  Practice: Continuity on Interval

• 25:42

  Identifying Continuous Pieces

• 29:24

  Testing at x=-2

• 31:13

  Testing at x=0

• 33:50

  Ruling Out Options

• 36:06

  Testing at x=5

• 39:49

  Sine Range Analysis

• 42:32

  Practice: Finding k for Continuity

• 45:42

  Calculating f(2)

• 46:44

  Limit from Right

• 48:49

  Final Summary on Continuity