Ppt Graphs Of Polynomial Functions Powerpoint Presentation Free The document discusses how to graph polynomial functions by determining: 1) the end behavior using the leading coefficient test 2) the maximum number of turning points from the degree of the polynomial 3) the x intercepts by finding the zeros of the polynomial 4) the y intercept by evaluating the polynomial at x=0 it provides examples of using these steps to graph various polynomial functions. The document summarizes key characteristics of polynomial functions: 1) polynomial functions produce smooth, continuous curves on their domains which are the set of real numbers. 2) the graph's x intercepts, turning points, and absolute relative maxima and minima are defined. 3) as the degree of a polynomial increases, so do the possible number.
Ppt Preview To 6 7 Graphs Of Polynomial Powerpoint Presentation 04 polynomial functions. 4.1 graphing polynomial functions 4.2 adding, subtracting, and multiplying polynomials 4.3 dividing polynomials 4.4 factoring polynomials 4.5 solving polynomial equations 4.6 the fundamental theorem of algebra 4.7 transformations of polynomials 4.8 analyzing graphs of polynomials 4.9 modeling with polynomial functions. For any polynomial function, the domain is all real numbers • for any polynomial function of odd degree, the range is all real numbers • the graph of any odd degree function has at least one x intercept. put it all together • f (x) ∞, as x ∞ and f (x) ∞, as x ∞ • degree of 4 represents an even degree polynomial function. Real zeros of polynomial functions ify = f (x) is a polynomial function and a is a real number then the following statements are equivalent. 1. a is a zero of f. 2. a is a solution of the polynomial equation f (x) = 0. 3. x – a is a factor of the polynomial f (x). 4. (a, 0) is an x intercept of the graph of y = f (x). This document provides an overview of polynomials, including: defining polynomials as expressions involving variables and coefficients using addition, subtraction, multiplication, and exponents. discussing the history of polynomial notation pioneered by descartes. explaining the different types of polynomials like monomials, binomials.
Ppt Graphing Polynomial Functions Powerpoint Presentation Fre Real zeros of polynomial functions ify = f (x) is a polynomial function and a is a real number then the following statements are equivalent. 1. a is a zero of f. 2. a is a solution of the polynomial equation f (x) = 0. 3. x – a is a factor of the polynomial f (x). 4. (a, 0) is an x intercept of the graph of y = f (x). This document provides an overview of polynomials, including: defining polynomials as expressions involving variables and coefficients using addition, subtraction, multiplication, and exponents. discussing the history of polynomial notation pioneered by descartes. explaining the different types of polynomials like monomials, binomials. 1. understanding the definition of a polynomial function 2. sketching the graphs of power functions 3. determining the end behavior of polynomial functions 4. determining the intercepts of a polynomial function 5. determining the real zeros of polynomial functions and their multiplicities 6. sketching the graph of a polynomial function 7. Polynomial functions. section 2.3. objectives. find the x intercepts and y intercept of a polynomial function. describe the end behaviors of a polynomial function. write the equation of a polynomial function given the zeros and a point on the function. 191 views • 14 slides.