The Function Dance. Please stand and use your arms for the end behaviors.

Slides:



Advertisements
Similar presentations
Degree and Lead Coefficient End Behavior
Advertisements

Section 5.1 – Polynomial Functions Defn: Polynomial function The coefficients are real numbers. The exponents are non-negative integers. The domain of.
Quick Review- Chap. 2/Functions. Even Degree Functions Even Functions- functions who reflect over the x-axis. End Behavior: What are the ends of these.
Lesson 3.1 Graph Cubic Functions Goal Graph and analyze cubic functions.
Cubic Functions f(x) = x³
MAT 150 – CLASS #20 Topics: Identify Graphs of Higher-Degree Polynomials Functions Graph Cubic and Quartic Functions Find Local Extrema and Absolute Extrema.
Table of Contents Polynomials: Multiplicity of a Zero The polynomial, P(x) = x 3 – x 2 – 21x + 45, factors as, P(x) = (x – 3)(x – 3)(x + 5). Its zeros.
Numbers
The “zero” of a function is just the value at which a function touches the x-axis.
(a) (b) (c) (d). What is (1,2,3)  (3,4,2)? (a) (1, 2, 3, 4) (b) (1,2)  (3,4) (c) (1,3,4,2) (d) (3,1)  (4,2)
Friday February 7, Properties of Exponent Objective: To evaluate or simplify expression with powers EQ: Can you multiply and divide negative fraction.
Polynomial Functions and Models Section 5.1. Polynomial Functions.
6.2 Graphs of Polynomials. The Degree of Polynomials The degree of a polynomial is the value of the largest exponent. y = 5x 4 + 3x 2 – 7 Degree = 4 y.
MAT 150 – Class #20 Topics: Identify Graphs of Higher-Degree Polynomials Functions Graph Cubic and Quartic Functions Find Local Extrema and Absolute Extrema.
EXAMPLE 5 Graph polynomial functions
Warm Up Solve using synthetic OR long division Polynomial Functions A polynomial is written in standard form when the values of the exponents are.
Notes Over 3.2 Graphs of Polynomial Functions Continuous Functions Non-Continuous Functions Polynomial functions are continuous.
Limits at Infinity Explore the End Behavior of a function.
6.3 – Evaluating Polynomials. degree (of a monomial) 5x 2 y 3 degree =
Objectives Investigating Graphs of Polynomial Functions 6-7
7.1 and 7.2 Graphing Inequalities 7.3 Solving Equations Using Quadratic Techniques Algebra II w/ trig.
Warm Up Identify all the real roots of each equation. –1, 4 1. x 3 – 7x 2 + 8x + 16 = x 3 – 14x – 12 = 0 1, –1, 5, –5 3. x 4 + x 3 – 25x 2 – 27x.
6.4 Polynomial Functions Polynomial in one variable : A polynomial with only one variable Leading coefficient: the coefficient of the term with the highest.
Today in Pre-Calculus Go over homework Notes: (need calculator & book)
 Students should be able to… › Evaluate a polynomial function. › Graph a polynomial function.
Graphing Polynomials. Step One: Determine End Behavior Using Lead Coefficient Test.
Polynomials and End Behavior
Polynomial Functions Definitions Degrees Graphing.
 Yes, the STEELERS LOST yesterday!. Graphs of Polynomial Functions E.Q: What can we learn about a polynomial from its graph?
7.1 Polynomial Functions Evaluate Polynomials
UNIT 2, LESSON 1 POLYNOMIAL FUNCTIONS. WHAT IS A POLYNOMIAL FUNCTION? Coefficients must be real numbers. Exponents must be whole numbers.
Polynomials of Higher Degree 2-2. Polynomials and Their Graphs  Polynomials will always be continuous  Polynomials will always have smooth turns.
Graphing Polynomial Functions. Finding the End Behavior of a function Degree Leading Coefficient Graph Comparison End Behavior As x  – , Rise right.
Chapter 5. Polynomial Operations.
5.2 – Evaluate and Graph Polynomial Functions Recall that a monomial is a number, variable, or a product of numbers and variables. A polynomial is a monomial.
Term 2 Week 7 Warm Ups. Warm Up 12/1/14 1.Identify all the real roots of the equation: 3x x 2 – 9x Identify whether the degree is odd or.
1-2 Characteristics of Polynomial Functions MHF4U K Stewart (HW optional questions)
8.1 ADDING AND SUBTRACTING POLYNOMIALS To classify, add, and subtract polynomials.
End behavior By:Skylar Brown.
Functions. Objectives: Find x and y intercepts Identify increasing, decreasing, constant intervals Determine end behaviors.
THE GRAPH OF A POLYNOMIAL FUNCTION. Review: The Degree of a Polynomial  The degree of a polynomial is equal to the power of its highest power of x. 
Questions from yesterday???.
Higher Degree Polynomial.  Case 1: If n is odd AND the leading coefficient, is positive, the graph falls to the left and rises to the right  Case 2:
10-1 人生与责任 淮安工业园区实验学校 连芳芳 “ 自我介绍 ” “ 自我介绍 ” 儿童时期的我.
Describe End Behavior.
Yahoo Mail Customer Support Number
Most Effective Techniques to Park your Manual Transmission Car
How do Power Car Windows Ensure Occupants Safety
5.2 Evaluate and Graph Polynomial Functions
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.
75 Has 7 in the tens place Odd Number Less than 100
THANK YOU!.
Graphing Polynomials Unit 1D Day 19.
Graph Polynomials Effect of Multiplicity on a graph
Functions AII.7 cdf 2009.
Thank you.
Thank you.
Solve the inequality and graph the solution set on the number line
5.3 Polynomial Functions By Willis Tang.
Graph Polynomials Effect of Multiplicity on a graph
MATH 1310 Section 4.1.
12 Has 1 in the tens place Even Number Less than 20
Section 2.3: End Behavior of Polynomial Functions
 .
Describe End Behavior.
Preview to 6.7: Graphs of Polynomial
MATH 1310 Section 4.1.
MATH 1310 Section 4.1.
Presentation transcript:

The Function Dance

Please stand and use your arms for the end behaviors.

Leading Coefficient Degree Positive Even

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Odd

Leading Coefficient Degree Positive Even

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Odd

Leading Coefficient Degree Positive Even

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Odd

Leading Coefficient Degree Positive Even

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Negative Odd

Leading Coefficient Degree Positive Even

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Positive Even

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Odd

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Even

Leading Coefficient Degree Positive Odd

Leading Coefficient Degree Negative Odd

Thank you for the dance.