Day 9 – Graphing Polynomial Functions by Hand

Slides:

Advertisements

Similar presentations

2.6 Solving Polynomial Equations

Advertisements

Notes Over 3.2 Graphs of Polynomial Functions Continuous Functions Non-Continuous Functions Polynomial functions are continuous.

Notes Over 6.7 Finding the Number of Solutions or Zeros

3.2 Graphs of Polynomial Functions of Higher Degree.

Graphing Polynomials. Step One: Determine End Behavior Using Lead Coefficient Test.

7.1 Polynomial Functions Evaluate Polynomials

5-2 Polynomials, Linear Factors, & Zeros

Polynomials of Higher Degree 2-2. Polynomials and Their Graphs  Polynomials will always be continuous  Polynomials will always have smooth turns.

Chapter 5. Polynomial Operations.

Section 3.4 – Zeros of a Polynomial. Find the zeros of 2, -3 (d.r), 1, -4.

15.10 Graphing Polynomial Functions OBJ:  To sketch the graph of an integral polynomial function of degree n with n distinct roots.

End behavior By:Skylar Brown.

WARM UP- FOR THE POLYNOMIAL LISTED BELOW:. FUNDAMENTAL THEOREM OF ALGEBRA.

February 27, 2012 At the end of today, you will evaluate polynomial functions and identify the general graphs of the functions. Warm-up: With a partner,

Do Now: Match each polynomial function with its graph. Explain your reasoning. Use a graphing calculator to verify your answers. 1. f (x) = x 3 − x 2.

Grudgeball! Unit 4 (Part 2) Test Review. Factor completely:

Chapter Polynomials of Higher Degree

Today in Pre-Calculus Go over homework Notes: (need calculator & book)

Polynomials Investigating Graphs and Transformations

Section 3.2 Polynomial Functions and Their Graphs

5-2 Polynomials, Linear Factors, & Zeros

Graph III Y-intercept: (0,-8) Only X-intercepts: (-4,0) Bounce

Graphing Polynomial Functions

Notes Over 3.4 The Rational Zero Test

7.1 nth roots and rational Exponents

Algebra II Explorations Review ( )

Complex Zeros Objective: Students will be able to calculate and describe what complex zeros are.

2.1 Day 2 Homework Answers D: −2,∞

6.3 – Square Root Functions and Inequalities

Rational Root Theorem Math 3 MM3A1.

Smooth, Continuous Graphs

Lesson 2.5 The Fundamental Theorem of Algebra

Warm-up: Given the function f(x) = 6x4 – 7x3 – 10x2

Warm Up Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)

6-8 Roots and Zeros – Day 1 SWBAT

1. Use the quadratic formula to find all real zeros of the second-degree polynomial

Polynomial Multiplicity

Warm-up: Sketch the graph of f(x) = x5 – 4x4 + 4x3. Be sure to include all critical values. HW: Quiz Review 2.1/2.2.

Evaluate and Graph Polynomial Functions

Solving Polynomial Equations

Graphing Polynomials Unit 1D Day 19.

Warm Up Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)

Finding Solutions by graphing

Graph Polynomials Effect of Multiplicity on a graph

Polynomial Functions and Their Graphs

Section 2.3 Polynomial Functions and Their Graphs

Section 3.2 Polynomial Functions and Their Graphs

5-Minute Check Lesson 4-1.

Polynomial Functions of Higher Degree

Bell Ringer What is a function?

Warm-up: Determine the left and right-hand behavior of the graph of the polynomial function, then find the x-intercepts (zeros). y = x3 + 2x2 – 8x HW:

Students, Take out your calendar and your homework

Warm Up Create the following… a cubic binomial a quadratic trinomial

Polynomial Functions 1 Definitions 2 Degrees 3 Graphing.

2. What “test” can you use to determine if a graph is a function?

Graph Polynomials Effect of Multiplicity on a graph

Polynomial Functions of Higher Degree

DO NOW 5/12/15 Identify the degree and leading coefficient of the following polynomials y = 3x3 – 2x + 7 y = -x4 + 3x2 – x + 8 y = 2x2 – 7x y = -x7 + x4.

“Why so serious?”.

Homework Check.

Homework Check.

Section 2.3: End Behavior of Polynomial Functions

Mathematical Analysis

Preview to 6.7: Graphs of Polynomial

Polynomial Functions of Higher Degree

Bellwork Solve the Polynomial Equation by Factoring

Polynomial Functions of Higher Degree

Warm Up What are the zeros of the function?

Polynomial investigation

Presentation transcript:

Day 9 – Graphing Polynomial Functions by Hand Unit 2 Polynomials Day 9 – Graphing Polynomial Functions by Hand

WU / HW review

Polynomials – vocab reminders Degree Leading Coefficient Roots / Zeros End Behavior

End Behavior Activity Cards Spend about 5 minutes with your shoulder buddy to categorize these cards. Be prepared to share your reasons for your responses. 1st round – positive vs. negative leading coefficient 2nd round – even vs. odd degree What do you notice?

Exit Ticket Remember – you may use your notes but there is to be NO TALKING!

Videos for reference End behavior Sketching by hand  this one is a tad long but it’s a great explanation!

CW / HW pgs Try to complete these without the use of a calculator! You can do it! 