Question: A 4th-degree polynomial function has the general form y = (x4 + bx3 + cx2 + dx + e for real values of a, b,

A 4th-degree polynomial function has the general form y = (x4 + bx3 + cx2 + dx + e for real values of a, b, c, d, and e, where a ( 0. Graph several 4th-degree polynomial functions by trying different values for each coefficient. Be sure to include positive, negative, and zero values. Make a sketch of each different type of curve you get. Concentrate on the shape of the curve. You do not need to include axes in your sketches. Compare your graphs with the graphs of your classmates, and come up with six or more different shapes that describe all 4th-degree polynomial functions.

Step by Step Solution

★★★★★

3.48 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Graphs will be a basic W shape pointed ei... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

940-L-A-L-S (3666).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

It is possible to adapt some of the tools used in linear regression to certain nonlinear cases. Suppose, for example, you wanted to link independent variable x to dependent variable y using the...

In the lesson you saw various possible appearances of the graph of a 3rd-degree polynomial function, and in Exercise 10 you explored possible appearances of the graph of a 4th-degree polynomial...

Write the lowest-degree polynomial function that has the given set of zeros and whose graph has the given y-intercept. a. zeros: x = - 4, x = 5, x = - 2 (double root); y-intercept: - 80 b. zeros: x =...

Question1 What is the degree of the polynomial function graphed below? Select one: Question 2 Match the function below with the corresponding graph. f (20) = (20 - 2) 2 ( 20 - 4) 2 Select one: O -5...

Just tell me what topic/type of math is, everyone of them, no need to solve cuz i already solve them, just tell me what TYPE of math 1. What kind of sequence is 5, 7, 9, 11, 13? a, arithmetic b....

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Math 1152 Project #4 Solving Initial Value Problems using Power Series and the Laplace Transform Due: Tuesday, April 11 Name(s): - - - - - - - - - - - - - - - - - - - - Description - - - - - - - - -...

A company has provided the following financial date: A target capital structure that is 50% debt and 50% equity After-tax cost of debt is 8% Cost of retained earnings is estimated to be 13.5% Cost of...

How do you compute net income?

When comparing budgeted data with actual data in a performance report for variable overheads, which variances will be produced if the budgeted data is based on actual hours worked?

Which level of measurement should be thought of as the naming level?

Find the normal form of the equation of the plane that passes through P = (0, - 2, 5) and is parallel to the plane with general equation 6x - y + 2z = 3.

A cube has vertices at the eight points (x, y, z), where each of x, y, and z is either 0 or 1. (a) Find the general equations of the planes that determine the six faces (sides) of the cube. (b) Find...

Find the equation of the set of all points that are equidistant from the points P = (1, 0, - 2) and Q = (5, 2, 4).

The answer is (D) $65.18 Is there anyone who can solve it so that the answer is $65.18? Please explain it. 3. You sold short 300 shares of common stock at $55 per share. The initial margin is 60%. At...

Your firm would like to evaluate a proposed new operating division. You have forecasted cash flows for this division for the next five years, and have estimated that the cost of capital is 11%. You...

RAHAN COMPANY Comparative Balance Sheets December 31 Assets 2012 2011 Cash $38,000 $20,000 Accounts receivable 33,000 14,000 Merchandise inventory 27,000 20,000 Property, plant, and equipment 60,000...