Exercise 4.

Slides:

Advertisements

Similar presentations

Functions Solving Equations Simplifying & Solving Variables.

Advertisements

AB 11 22 33 44 55 66 77 88 99 10  20  19  18  17  16  15  14  13  12  11  21  22  23  24  25  26  27  28.

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

4.7 Write and Apply Exponential & Power Functions

Parabola and its Intercepts There are 2 intercepts to calculate : y – interceptwhere x = 0 substitute x = 0 into the equation and solve for y x – interceptswhere.

Exercise Exercise3.1 8 Exercise3.1 9 Exercise

Exercise Exercise Exercise Exercise

Exercise Exercise Exercise Exercise

Exercise Exercise6.1 7 Exercise6.1 8 Exercise6.1 9.

Theory and Applications

Derivative of an Inverse AB Free Response 3.

Graph an equation in standard form

Graphing Linear Equations. What is a Linear Equation? A linear equation is an equation whose graph is a LINE. Linear Not Linear.

Chapter 5:Write the equation of a line Given a Point and a Slope.

Bell Ringer Calculate the average of the following list of numbers What did you do over thanksgiving?

Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.

Sullivan Algebra and Trigonometry: Section 6.5 Properties of Logarithms Objectives of this Section Work With the Properties of Logarithms Write a Log Expression.

8.4 The Slope-Intercept Form of a Linear Equation Objective: To use the Slope-Intercept Form of a linear equation. Warm – up: Solve each equation for y.

Do Now: Evaluate: 3AB. Algebra II 3.7: Evaluate Determinants HW: p.207 (4-14 even) Test : Friday, 12/6.

Algebra 3: Section 5.5 Objectives of this Section Find the Sum and Difference of Two Matrices Find Scalar Multiples of a Matrix Find the Product of Two.

Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?

2.6 Formulas A literal equation – an equation involving two or more variables. Formulas are special types of literal equations. To transform a literal.

Slope The slope of a linear equation is the same everywhere along the line. We know how to use slope-intercept form: In slope-intercept form, the slope.

Jeopardy Angle Pairs Bisecting $100 $100 $100 $100 $100 $200 $200 $200

6.5 Applying Averages Obj: To calculate average and solve problems with average Find Average = Sum # of items.

Miscellaneous examples 1. Given that a = log 10 2 and b = log 10 5, find expressions in terms of a and b for: (i) log (ii) log (iii) log 10.

Solving Quadratic Equations. Solving by Factoring.

Unit 3 Part 2 Writing Equations Ax + By = C (standard form) y = mx + b (slope – intercept form)

Making graphs and solving equations of circles.

Solving Quadratic Equations using the Quadratic Formula

Solving a Trigonometric Equation Find the general solution of the equation.

Sum and Difference Formulas...using the sum and difference formula to solve trigonometric equation.

Solving Equations Binomials Simplifying Polynomials

Solving Quadratic Formula using the discriminant.

Making a decision … Now that you know 3 ways to solve a system of equations, how to choose which method to use when solving systems of equations.

Substitute the coordinates of the two given points into y = ax .

Notes Over 5.6 Quadratic Formula

Solving Quadratic Equations Using the Quadratic Formula Part 2.

Distance and Midpoint Intercepts Graphing Lines Graphing Circles Random.

Section )by graphing (using the calculator to identify the roots (x-intercepts)) 2)by factoring 3)by “completing the square” 4)by Quadratic Formula:

SECTION 6-6: POLYNOMIALS OF GREATER DEGREE Goal: Factor polynomials and solve polynomial equations of degree greater than three.

Which of these is 52 written as a product of its prime factors? a) 2 x 26b) 2 x 2 x 13 c) 4 x 13d) 1 x 52.

Notes P.5 – Solving Equations. I. Graphically: Ex.- Solve graphically, using two different methods. Solution – See graphing Calculator Overhead.

Today in Algebra 2 Get a calculator. Go over homework Notes: –Solving Systems of Equations using Elimination Homework.

How to Write an Equation of a Line Given TWO points

INTEGRATION & TECHNIQUES OF INTEGRATION

Solving Percent Problems Using Equations

Finding the square root of a complex number

Learning Targets Graph a line and write a linear equation using point-slope form. Write a linear equation given two points. Warm Up Find the slope of the.

Systems of Equations Lesson 41: Solve by using a matrix

Algebra substitution.

Solve Quadratic Equations by the Quadratic Formula

X AND R CHART EXAMPLE IN-CLASS EXERCISE

Class Notes 11.2 The Quadratic Formula.

Brackets, Factors and Equations

Who Wants To Be A Millionaire?

Section 1.1 Graphs and Graphing Utilities

Aim: How do we use quadratic formula to solve equation?

Solving Special Cases.

First let’s review 5.1 y = mx + b

Warm Up: Put on the back of guided notes

Tables and Relations Review

7.7 Write and Apply Exponential & Power Functions

Functions Solving Equations Simplifying & Solving Variables on Both

Graphing Linear Equations

5.4 Finding Linear Equations

Y X Equation of Lines.

Graphing Linear Equations

Presentation transcript:

Exercise 4

4.1 Determine which fuzzy sets defined by the following functions are fuzzy numbers: (a) (b) (c) (d) (e)

4.2 Calculate the following: (a) [-1, 2] + [1, 3]; (b) [-2, 4] – [3, 6]; (c) [-3, 4]˙[-3, 4]; (d) [-4, 6] / [1, 2].

4.5 Let A, B be two fuzzy numbers whose membership functions are given by Calculate the fuzzy numbers A + B, A - B, B - A, A • B, A/B, MIN(A, B) and MAX(A, B).

4.6 Let A, B be two fuzzy numbers given in Exercise 4.5 and let Solve the following equations for X: (a) A + X = B; (b) B • X = C.

4.9 Consider fuzzy sets A and B whose membership functions are defined by formulas for all x {0,1, 2 , . . . , 10} = X. Calculate: (a) Scalar and fuzzy cardinalities of A and B (also plot the fuzzy cardinalities); (b) degrees of subsethood S(| |, | |) and S(| |, | |).