200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 FUNCTIONS TABLES No calculatorsGRAPHSROOTS FACTORED.

Slides:



Advertisements
Similar presentations
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Advertisements

Domain and Range By Kaitlyn, Cori, and Thaiz. Domain Most commonly used definition- The set of all possible values "X" can have in a particular given.
Solving Quadratic Equations Lesson 9-3
Functions Basic Concepts Value (Image), Domain, Range, Graph.
Solving Quadratic Equation by Graphing Section 6.1.
Section 3.4 Zeros of Polynomial Functions. The Rational Zero Theorem.
Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.
Analyzing Graphs of Polynomials Section 3.2. First a little review… Given the polynomial function of the form: If k is a zero, Zero: __________ Solution:
WARM UP WHAT TO EXPECT FOR THE REST OF THE YEAR 4 May The Discriminant May 29 Chapter Review May 30 Review May 31 Chapter 9 Test June Adding.
Medical Care Cost vs. Average Income By: Larissa Ho.
Notes Over 6.7 Finding the Number of Solutions or Zeros
7 January 2011 Algebra 2. Solving Quadratics by Graphing 1/7 Using a Graph To solve a quadratic equation with a graph, look for the points where the graph.
JEOPARDY! Graphing Quadratics Graphing Solving using Square Roots Discriminants GO TO FINAL.
Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.
2.8 : Absolute Value Functions What is absolute value? What does the graph of an absolute value function look like? How do you translate an absolute value.
This is the parent graph of all quadratic functions. The graph of a quadratic function is called a parabola. The parent function is given as.
9-1 Quadratic Equations and Functions 9-2 Characteristics of Quadratic Functions 9-3 Graphing Quadratic Functions 9-4 Solving Quadratic Equations by Graphing.
Objective - To use the discriminant to determine the number of real solutions for a quadratic. Quadratic FormulaDiscriminant Used to find the roots of.
Algebra 1B Chapter 9 Solving Quadratic Equations By Graphing.
CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson.
Test Wednesday Review Answers.
Finding the Vertex: Method 2 Complete the Square Vertex is (-3,-5) Divide the number in front of x 2 out of first 2 terms Determine the perfect square.
3.8 Warm Up Write the function in vertex form (by completing the square) and identify the vertex. a. y = x² + 14x + 11 b. y = 2x² + 4x – 5 c. y = x² -
Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.
6 th Hour Mathopoly.  A term is a number, a variable of various degree, or a combination of a number and a variable of various degrees.  Nomial is Latin.
Graphing Polynomials. Step One: Determine End Behavior Using Lead Coefficient Test.
Complex Numbers, Division of Polynomials & Roots.
CHAPTER 10 REVIEW What is the equation of A.O.S. for y = x 2 – 12x – 7 ? x = 6 HINT: x = -b / 2a.
Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?
The Original f(x)=x 3 -9x 2 +6x+16 State the leading coefficient and the last coefficient Record all factors of both coefficients According to the Fundamental.
Analyze the factored form of a polynomial by using the zero-product property. 5-2 POLYNOMIALS, LINEAR FACTORS, AND ZEROS.
CHAPTER 4.
Chapter 4: Polynomial and Rational Functions. 4-2 Quadratic Equations For a quadratic equation in the form ax 2 + bx + c = 0 The quadratic Formula is.
Section 3.4 – Zeros of a Polynomial. Find the zeros of 2, -3 (d.r), 1, -4.
4.2 Polynomial Functions and Models. A polynomial function is a function of the form.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
6.7 Pg.366 This ppt includes 7 slides consisting of a Review and 3 examples.
Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.
Standard Form y=ax 2 + bx + c Factor (if possible) Opening (up/down) Minimum Maximum Quadratic Equation Name________________________Date ____________ QUADRATIC.
Section 3.4 Zeros of Polynomial Functions. The Rational Zero Theorem.
Before Find the vertex and zeros and then graph Copyright © by Houghton Mifflin Company, Inc. All rights reserved.1.
WARM - UP 1.Given the following information sketch a graph of the polynomial: 2.Find all of the roots of the following polynomial:
Algebra 2 cc Section 3.3 Relate zeros (roots), factors, and intercepts of polynomial functions Consider the quadratic function f(x) = x 2 – 2x - 8 Zeros.
Factor each polynomial.
Idea of Limit The limit of a function at a point is based on "local" behavior of the function near that point. It is the value that the function would.
Solving Quadratic Equation by Graphing
Section 3.4 Zeros of Polynomial Functions
Find the number of real solutions for x2 +8x
2-5 Absolute Value Functions and Graphs
2.7 Absolute Value Functions and Graphs
Finding polynomial roots
6.2 Solving Quadratic Equations by Graphing
Solving Quadratic Equation and Graphing
Finding Roots of Higher Order Polynomials
Section 3.4 Zeros of Polynomial Functions
Solving Quadratic Equation by Graphing
E) Quadratic Formula & Discriminant
1. Use the quadratic formula to find all real zeros of the second-degree polynomial
Polynomial Multiplicity
Academy Algebra II 5.2: Evaluate and Graph Polynomial Functions
Solving Quadratic Equation by Graphing
Solving Quadratic Equation by Graphing
Transformations of Quadratic Functions Parent function:
A graphing calculator is required for some problems or parts of problems 2000.
The Discriminant CA 22.0, 23.0.
Solving Quadratic Equation by Graphing
Solving Quadratic Equation
Matching functions & graphs without calculators
Line Graphs.
Presentation transcript:

FUNCTIONS TABLES No calculatorsGRAPHSROOTS FACTORED FORM

FUNCTIONS $100 The roots of F(x)=x 2 +4x-12

FUNCTIONS 200 The discriminant of F(x)=x 2 -4x+1

FUNCTIONS 300 Factored form of F(x)=x 2 -4x+1

FUNCTIONS 400 Graph of F(x)=-2x 2 +12x-18

FUNCTIONS 500 Vertex Form of F(x)=-2x 2 +2x-5

Kind of Function for

Value of a

Value of b

Value of c

Discriminant of

Roots of

Factored Form of

Polynomial Form of

Vertex Form of

Value of Discriminant

ROOTS 100 Value of discriminant if only root at x=3

ROOTS 200 Positive, Negative or 0,discriminant if roots are x=(2+3i) and x=(2-3i)

Graph if root is at x=3 and table :

ROOTS 400 Vertex if roots are x=2+√3, x=2-√3

ROOTS 500 Graph if roots are x=2+√3, x=2-√3

FACTORED FORM 100 Polynomial Form of F(x)=(x+6)(x-2)

Factored Form 200 Graph of f(x)=(x-(2-√(3))(x-(2+√(3))

FACTORED FORM 300 Value of Discriminant of F(x)=(x+3) 2

FACTORED FORM 400 Vertex form of F(x)=(x-(.5+1.5i))(x-(.5-1.5i))

FACTORED FORM 500 Vertex form of f(x)=(x-(2+i√(3)))(x-(2-i√(3)))

Without using a calculator, the polynomial form using