Algebra II Pre-AP Graphing Polynomial Functions in Standard Form ASSIGNMENT For the following polynomials identify the degree, leading coefficient, y-intercept, zeroes (with multiplicityl, end behavior, minimum(s), maximum(s) (local and global), interval(s) of increase, and interval(s) of decrease. Then sketch the graph. 1. h(x)= 4x-3x-5x² +1 Degree: Leading Coefficient: y-intercept:

Algebra II Pre-AP Graphing Polynomial Functions in Standard Form ASSIGNMENT For the following polynomials identify the degree, leading coefficient, y-intercept, zeroes (with multiplicityl, end behavior, minimum(s), maximum(s) (local and global), interval(s) of increase, and interval(s) of decrease. Then sketch the graph. 1. h(x)= 4x-3x-5x² +1 Degree: Leading Coefficient: y-intercept:

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.2: Polynomial Functions Of Higher Degree

Problem 103E: Modeling Polynomials Sketch the graph of a fourth-degree polynomial function that has a zero of...

See similar textbooks

Similar questions

Maximize volume An open box is to be constructed from a piece of cardboard 20 inches by 24 inches by cutting a square of length x from each corner and folding up the sides as shown in the figure. a. Write a polynomial function V(x) that expresses the volume of the constructed box as a function of x. b. Use the theory learned about graphing polynomial functions and graph V(x). c. What is the domain of the function as it relates to the application problem? d. Use a graphing calculator to graph the function, and estimate the value of x that gives the maximum volume and then estimate the maximum volume. Round to one decimal place.
Modeling Polynomials Sketch the graph of a fourth-degree polynomial function that has a zero of multiplicity 2 and a negative leading coefficient. Sketch the graph of another polynomial function with the same characteristics except that the leading coefficient is positive.
Fill in the blanks. The graph of a nth degree polynomial function can have at most ________ turning points.
Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area or building envelope for the rectangular lot shown in the following figure is given by A=(x20)(y20) a Explain how the expression for A is obtained. b Expand to express A as a polynomial in x and y. c A contractor has a choice of purchasing one of two rectangular lots, each having the same area. One lot measures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope?
Local extrema these exercises involve local maximaand minima of polynomial functions. Graph the function P(x)=(x2)(x4)(x5) and determine how many local extrema it has. If a < b < c, explain why the function P(x)=(xa)(xb)(xc) must have two local extrema-
Finding a Polynomial from a Graph Find the polynomial of the specified degree whose graph is shown. Degree 3