## Polynomial end behavior chart pdf

6 Polynomial Functions. 6.1 End and Zero Behavior. Note 1. A polynomial of degree 2 or more has a graph with no sharp turns or cusps. Note 2. The domain of a END BEHAVIOR – be the polynomial Odd--then the left side and the right side are different Even--then the left side and the right are the same The Highest DEGREE is either even or odd Negative--the right side of the graph will go down The Leading COEFFICIENT is either positive or negative Positive--the right side of the graph will go up ©P k250b1 t3 4 UK Aupt fa T ASno mfJtBwxa sr 0eV QLZL NCK.p G 1Aul Old ordi3gyh 8tPs s Brze 1s Ze Sruv Gegd d.e e TM4aYdbeQ 6wbi AtLh D 7I mnZfXisnmi Gtje e qA Fl Rg0e 9b er0ac q2K.u Worksheet by Kuta Software LLC An easy to use chart for determining end behavior of a polynomial. Use the sign of the leading coefficient (columns) and whether the degree is even or odd (rows) to predict what the graph will look like. This PDF includes 4 different formats (color, grayscale, semi-blank, fully blank). Print at nor This worksheet will guide you through looking at the end behaviors of several polynomial functions. At the end, we will generalize about all polynomial functions. A good window for all the graphs will be [-10, 10] x [-25, 25] unless stated otherwise. Try to mimic the general shape and the end behavior of the graphs. However, you do not need I. End Behavior of Functions The end behavior of a graph describes the far left and the far right portions of the graph. Using the leading coefficient and the degree of the polynomial, we can determine the end behaviors of the graph. This is often called the Leading Coefficient Test. -Vocabulary for Polynomials Fill in the blanks for the chart below. Example of a function Degree of the function Name/type of function Complete each statement below. A polynomial with 2 terms is called a _____The degree of is_____. U5 Day 8 Factoring (Section 6.4) Polynomial Functions and End Behavior

## x x. → -∞. → ∞ f. Page 10. 3.4 - 10. End Behavior of Polynomials. Suppose that axn is the dominating term of a polynomial function f of even degree. 1. If a > 0,

I. End Behavior of Functions The end behavior of a graph describes the far left and the far right portions of the graph. Using the leading coefficient and the degree of the polynomial, we can determine the end behaviors of the graph. This is often called the Leading Coefficient Test. -Vocabulary for Polynomials Fill in the blanks for the chart below. Example of a function Degree of the function Name/type of function Complete each statement below. A polynomial with 2 terms is called a _____The degree of is_____. U5 Day 8 Factoring (Section 6.4) Polynomial Functions and End Behavior LT1. classify polynomials by degree and number of terms. LT2. use polynomial functions to model real life situations and make predictions LT3. identify the characteristics of a polynomial function, such as the intervals of increase/decrease, intercepts, domain/range, relative minimum/maximum, and end behavior. End Behavior: describes the far left and far right portions of a graph Behavior Up and Up , Down and Down , Down and Up , Up and Down , Graph As x y _____ As x y _____ Equation Examples: Determine the end behavior of the graphs of each function below 1) yx 32 2) yx 2 3 3) gt t t() 2 4) hx x 6 Class Graphing Activity Graphing Polynomial Functions Directions: Complete the chart below and use the information find the matching graph from the following page. Since the leading coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right. Multiplying Polynomials. Distribute the x and then distribute the 2. Combine like terms and simplify. Try These. If you are interested in using the Alternate Method (see example below), I set up the first one for you. a.) b.) U5 Day 3 Long Division Polynomials (Section 6.3) Review Days 1 and 2. Classify the each polynomial by degree and number of terms.

### • polynomial function • end behavior Polynomial Functions 346 Chapter 7 Polynomial Functions • Evaluate polynomial functions. • Identify general shapes of graphs of polynomial functions. If you look at a cross section of a honeycomb, you see a pattern of hexagons. This pattern has one hexagon surrounded by six more hexagons. Surrounding these is

End Behavior of Polynomials. Pg. 2. Given the equation of a polynomial function, we can analyze the degree and leading coefficient of the polynomial. f(x) = x2. Directions: Complete the chart below and use the information find the matching graph from the following page. Polynomial. Function. Degree. Leading. x x. → -∞. → ∞ f. Page 10. 3.4 - 10. End Behavior of Polynomials. Suppose that axn is the dominating term of a polynomial function f of even degree. 1. If a > 0,

### FUNCTION PROPERTIES (increasing, decreasing, constant etc.) Worksheet Function Properties increasing_decreasing_constant.pdf 252.85 KB (Last Modified

Class Graphing Activity Graphing Polynomial Functions Directions: Complete the chart below and use the information find the matching graph from the following page.

## ©Q H2v0 n1W2K cKlu Rt6aP wS1osf Xtbw Na5rGei SLdL nCX.l j 5A El Jl p 2r tiCgih 5tEs V Prge7sPeMr5v meqd 5.5 X tM La dEe g Sw5iCt9h3 oI Jngf 7iznxi NtleK tA olhg Yevb erqa T J2G.a Worksheet by Kuta Software LLC

End behavior of polynomial functions helps you to find how the graph of a polynomial function f(x) behaves (i.e) whether function approaches a positive infinity or a negative infinity. This end behavior of graph is determined by the degree and the leading co-efficient of the polynomial function. degree 1 (or ‘ rst degree’) polynomial functions and quadratic functions as degree 2 (or ‘second degree’) polynomial functions. Example 3.1.2. Find the degree, leading term, leading coe cient and constant term of the fol-lowing polynomial functions. 1. f(x) = 4x5 3x2 + 2x 52. g(x) = 12x+ x3 3. h(x) = 4 x 5 4. p(x) = (2x 1)3(x 2)(3x+ 2) Solution. ©Q H2v0 n1W2K cKlu Rt6aP wS1osf Xtbw Na5rGei SLdL nCX.l j 5A El Jl p 2r tiCgih 5tEs V Prge7sPeMr5v meqd 5.5 X tM La dEe g Sw5iCt9h3 oI Jngf 7iznxi NtleK tA olhg Yevb erqa T J2G.a Worksheet by Kuta Software LLC

This worksheet will guide you through looking at the end behaviors of several polynomial functions. At the end, we will generalize about all polynomial functions. A good window for all the graphs will be [-10, 10] x [-25, 25] unless stated otherwise. Try to mimic the general shape and the end behavior of the graphs. However, you do not need I. End Behavior of Functions The end behavior of a graph describes the far left and the far right portions of the graph. Using the leading coefficient and the degree of the polynomial, we can determine the end behaviors of the graph. This is often called the Leading Coefficient Test. -Vocabulary for Polynomials Fill in the blanks for the chart below. Example of a function Degree of the function Name/type of function Complete each statement below. A polynomial with 2 terms is called a _____The degree of is_____. U5 Day 8 Factoring (Section 6.4) Polynomial Functions and End Behavior LT1. classify polynomials by degree and number of terms. LT2. use polynomial functions to model real life situations and make predictions LT3. identify the characteristics of a polynomial function, such as the intervals of increase/decrease, intercepts, domain/range, relative minimum/maximum, and end behavior.