Some of the worksheets displayed are Mat140 section work on polynomial functions part, Math 3 characteristics of polynomial functions, Graphing polynomial, Characteristics of polynomial functions, Characteristics of polynomial functions, Graphs of polynomial functions, Mhf4u unit 1, Unit 3 chapter 6 polynomials. x →∞ and y →∞ as x →−∞ Using Zeros to Graph Polynomials: Definition: If is a polynomial and c is a number such that, then we say that c is a zero of P.State College Area School District / State College Area School DistrictShowing top 8 worksheets in the category - Characteristics Of Polynomial Functions. Solution: Since Q has even degree and positive leading coefficient, it has the following end behavior: y →∞. Approximate theExample 2: Determine the end behavior of the polynomial Qx x x x ( )=64 264−+−3. Approximate each real zero to the nearest tenth. † The y-coordinate of a turning point is a local maximum of the function when the point is higher than all nearby points.©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 Sketch the graph of each function. 6.214 Chapter 4 Polynomial Functions Turning Points Another important characteristic of graphs of polynomial functions is that they have turning points corresponding to local maximum and minimum values.

Based on the following partial set of table values of a polynomial function, determine between which two values you believe a local maximum or local minimum may have occurred.

For each of the following functions, state the i) degree of the function (the greatest power in the function) ii) end behaviour (the behaviour of the function as x becomes very large) iii) y – intercept and the constant term Based on the following partial set of table values of a polynomial function, determine between which two x-values you believe a zero may have occurred. 3.1 Characteristics of Polynomial Functions Investigating the graphs of polynomial functions.

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