AP Calculus BC Monday, 31 August 2015 OBJECTIVE TSW find infinite limits FORM DUE (only if it is signed) –Information Sheet (wire basket) If you have t-shirt.

Slides:



Advertisements
Similar presentations
9.3 Rational Functions and Their Graphs
Advertisements

AP Calculus BC Tuesday, 26 August 2014 OBJECTIVE TSW (1) estimate a limit using a numerical and graphical approach; (2) learn different ways that a limit.
AP Calculus BC Friday, 30 January 2015 OBJECTIVE TSW (1) find the area of a region between two curves; (2) find the area of a region between intersecting.
AP Calculus BC Monday, 18 November 2013 OBJECTIVE TSW use integration by subsitution. ASSIGNMENT DUE –Sec. 4.1  wire basket Tests are graded. Look on.
1st 9 Weeks Bell Ringers.
1st 9 Weeks Bell Ringers.
AP Calculus BC Monday, 07 April 2014 OBJECTIVE TSW (1) find polynomial approximations of elementary functions and compare them with the elementary functions;
College Algebra K/DC Monday, 27 January 2014 OBJECTIVE TSW write equations for lines in standard form and slope-intercept form. ASSIGNMENT DUE I will take.
College Algebra K/DC Friday, 23 January 2015 OBJECTIVE TSW write equations for lines in standard form and slope-intercept form. ASSIGNMENT DUE I will take.
3.7 Graphing Rational Functions Obj: graph rational functions with asymptotes and holes and evaluate limits of rational functions.
7-5 The Other Trigonometric Functions Objective: To find values of the tangent, cotangent, secant, and cosecant functions and to sketch the functions’
AP Calculus BC September 2, 2015 Day 3 - §1.4 Continuity and One-Sided Limits.
5 Minute Check Complete in your notebook
AP Calculus BC Tuesday, 08 September 2015 OBJECTIVE TSW (1) study and use a formal definition of a limit. WS Practice with Limits is due Friday, 09/11/15.
1.5 Infinite Limits IB/AP Calculus I Ms. Hernandez Modified by Dr. Finney.
AP CALCULUS AB Chapter 2: Limits and Continuity Section 2.2: Limits Involving Infinity.
1.5 Infinite Limits and 3.5 Limits at Infinity AP Calculus I Ms. Hernandez (print in grayscale or black/white)
Limits Involving Infinity North Dakota Sunset. As the denominator gets larger, the value of the fraction gets smaller. There is a horizontal asymptote.
Properties of Exponents
AP Calculus BC September 9, 2015 Day 7 – The Chain Rule and Implicit Differentiation.
Monday, September 27 (Blue) Tuesday, September 28 (Gold) Today’s Agenda Fill in Planner Practice 4-2, 4-3, and 4-4 due Wednesday (Blue), Thursday (Gold)
AP Calculus BC Monday, 14 September 2015 OBJECTIVE TSW (1) define the slope of a curve at a point, and (2) define the derivative. Tests are graded. TODAY’S.
College Algebra K/DC Friday, 26 September 2014 OBJECTIVE TSW factor using (1) the pattern of difference of two squares, and (2) the pattern of the sum.
Horizontal & Vertical Asymptotes Today we are going to look further at the behavior of the graphs of different functions. Now we are going to determine.
2.2 Limits Involving Infinity Goals: Use a table to find limits to infinity, use the sandwich theorem, use graphs to determine limits to infinity, find.
As the denominator gets larger, the value of the fraction gets smaller. There is a horizontal asymptote if: or.
Warm Up-7 th Grade Science Monday, August 3 Please take out your composition notebook and update your table of contents to the following: 19. Scientific.
AP Calculus BC Monday, 21 September 2015 OBJECTIVES TSW find (1) derivatives using the product and quotient rules, and (2) higher-order derivatives. ASSIGNMENT.
Bell Work: Tuesday 8/11 1. Pick up a Bell Work paper from the front table. 2. Take a seat in your assigned seat from yesterday. If you don’t remember where.
College Algebra K/DC Wednesday, 23 September 2015
1 College Algebra K/DC Tuesday, 15 September 2015 OBJECTIVE TSW add, subtract, mulitply, and divide polynomials. ASSIGNMENT DUE –Sec. R.3: pp (1-9.
Key Information Starting Last Unit Today –Graphing –Factoring –Solving Equations –Common Denominators –Domain and Range (Interval Notation) Factoring will.
Graphing Rational Functions Objective: To graph rational functions without a calculator.
AP Calculus BC Tuesday, 25 August 2015 OBJECTIVE TSW (1) estimate a limit using a numerical and graphical approach; (2) learn different ways that a limit.
AP Calculus BC Tuesday, 22 September 2015 OBJECTIVE TSW apply the Chain Rule to differentiate functions. ASSIGNMENT DUE TOMORROW/THURSDAY –Sec. 3.4: pp.
AP Calculus BC Monday, 16 November 2015
 Review:  Graph: #3 on Graphing Calc to see how it looks. › HA, VA, Zeros, Y-int.
AP Calculus BC Wednesday, 30 September 2015 OBJECTIVE TSW review for Friday’s test covering differentiation. ASSIGNMENTS DUE FRIDAY –WS Implicit Differentiation.
Warm-Up 9/03. Rigor: You will learn how to evaluate and determine sign of trig functions using the Unit Circle. Relevance: You will be able to solve.
R5 - 1 Class Problems (10/07/15): Sec. R.5 Due in 15 minutes. (Write the problem and solve.)  wire basket Determine the domain Write in lowest terms.
Monday January 11th Bell Ringer Part #1: Dontrell goes to the store to buy shirts for school. He notices a sign advertising 10 shirts for $12. Given this.
Calculus Section 2.5 Find infinite limits of functions Given the function f(x) = Find =  Note: The line x = 0 is a vertical asymptote.
Warm Up-Accelerated Science Monday, August 3 Please take out your composition notebook and update your table of contents to the following: 19. Scientific.
Exponential Functions – Differentiation and Integration.
Warm up 8/19 Warm up 1. Do in notebook Explain why these are incorrect :
AP Calculus BC Friday, 05 February 2016 OBJECTIVE TSW (1) explore properties of inverse trigonometric functions, (2) differentiate inverse trig functions,
1 College Algebra K/DC Friday, 08 April 2016 OBJECTIVE TSW solve exponential equations. Put assignment in wire basket, please ! QUIZ: Sec. 4.4 will be.
AP Calculus BC Wednesday, 09 March 2016 OBJECTIVE TSW (1) solve integrals using trig substitution, and (2) quiz over basic integration rules and integration.
1 College Algebra K/DC Friday, 04 December 2015 OBJECTIVE TSW solve absolute value equations and inequalities. QUIZ: Sec. 1.6 will be given after the lesson.
Bell Ringer. ASYMPTOTES AND GRAPHING December 2, 2015.
1 OBJECTIVE TSW (1) determine vertical, horizontal, and oblique asymptotes, and (2) quiz over sec ASSIGNMENTS DUE WS Sec. 3.4 – Day 3  wire basket.
Calculus Section 2.5 Find infinite limits of functions Given the function f(x) = Find =  Note: The line x = 0 is a vertical asymptote.
Infinite Limits 1.5. An infinite limit is a limit in which f(x) increases or decreases without bound as x approaches c. Be careful…the limit does NOT.
AP Calculus BC Tuesday, 09 February 2016 OBJECTIVE TSW review for tomorrow's test differentiation and integration of transcendental functions and their.
Wednesday, January 20, 2016MAT 145. Wednesday, January 20, 2016MAT 145.
OBJECTIVE TSW (1) list the terms of a sequence; (2) determine whether a sequence converges or diverges; (3) write a formula for the nth term of a sequence;
BELL WORK –Math 8 Good Morning Cougars Today is Tuesday, August 18 (Number and write each problem and then solve)
Solving Differential Equations Slope Fields. Solving DE: Slope Fields Slope Fields allow you to approximate the solutions to differential equations graphically.
1 College Algebra K/DC Friday, 09 October 2015 OBJECTIVE TSW reduce and simplify expressions with rational exponents. (Students will receive their own.
Friday, January 25, 2016MAT 145 Review Session Thursday at 7 pm Test #1 Friday!
Graphing Rational Functions
Rational functions are quotients of polynomial functions.
Entry Task Consider the function f(x):
Infinite Limits Calculus 1-5.
Sec. 2.2: Limits Involving Infinity
1-3 Multiplying and Dividing Real Numbers Warm Up Lesson Presentation
Day 1 Welcome Back to School! AP Calculus BC Mr. Chopyak.
Sec 3.3: Derivatives Of Trigonometric Functions
AP Calculus Chapter 1, Section 5
Limits Involving Infinity
Presentation transcript:

AP Calculus BC Monday, 31 August 2015 OBJECTIVE TSW find infinite limits FORM DUE (only if it is signed) –Information Sheet (wire basket) If you have t-shirt money, bring it up after the beginning bell. QUIZ: Sec. 2.2 – 2.4, Trigonometric Review is tomorrow, Tuesday, 01 September –Pick up (ungraded) assignments on the front table if you want to use them to study for the quiz. –If you pick them up today, you will turn them in tomorrow.

Sec. 2.4: Infinite Limits

In other words, when x = c, and then there is a vertical asymptote at x = c. # other than 0

Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x = –1, numerator ≠ 0 and denominator = 0,  x = –1

Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x = –1 and x = 1, numerator ≠ 0 and denominator = 0,  x = –1 and x = 1

Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x =  (and all multiples of  ), numerator ≠ 0 and denominator = 0,  x = k , k є 

Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x = −2, numerator ≠ 0 and denominator = 0,  x = −2

Sec. 2.4: Infinite Limits Ex:Determine the limit. so the function has a x = 1 A negative # getting smaller

Sec. 2.4: Infinite Limits

Ex:Determine the limit.

Sec. 2.4: Infinite Limits Ex:Determine the limit.

Sec. 2.4: Infinite Limits Ex:Determine the limit.