A quartic equation is a fourth-order polynomial equation of the form. Shortly after the discovery of a method to solve the cubic equation, Lodovico Ferrari (1522-1565), a student of Cardano, found a way to solve the quartic equation. His solution is a testimony to both the power and the limitations of elementary algebra. The objective of this project is to analyze a polynomial of degree four via various attributes using Microsoft Excel and Microsoft Word. I was assigned a nuumber in class that resembles a fucntion provided on the list.
An end behavior on a graph basically talks about the tailends of the graph. You determine the end behavior by looking at which way the tailends are pointing. The end behavior is the behavior of the graph
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Looking at my graph i can come to a conclusion that the left side of my graph is going upward so F(x) is approching positive infinity. The left side isnt pointing upward or downward so i had to look at my equation to determine what f(x) is. Since the leading coefficient is negative the right side of the graph is going down , so f(x) approches negative infinity.
Local extrema is basically all local maximums and minimums on a functions graph. Local extrema occurs at criticla points on the graph where the derivative is zero or undefined. To find the exact number of a local extrema using your polynomial , first find the first derivative of f using the power rule. Then you will set the derivative to zero and solve for x. The values you get are the critical points which is also your local extrema. To find the local extrema in your calculator all you have to do is enter the equation into Y=. Then hit GRAPH and look for the max value first. To find the max value just go to calculate and choose maximum. Then move your cursor to the left when they ask you for left bound and hit enter and it will tell you that you locked the position and just repeat the bounds for the right side too. When it asks for guess just hit enter and the coordinates of he max value will appear. I had atleast 4 local extrema.
A zero of a function is an input value that produces an output of zero and can also be referred to as, a root. An examples of this would be f(x)=
4. Write a program to calculate and display the result of a second order equation where
My choice would be a Linear Function because it doesn’t go through an intersection like an exponential function would, it also wouldn’t be a cubic function because it is not curved. It has all straight lines.
1.The quadratic formula is to solve for x. The formula is x=-b +/-√b²-4ac\ 2a. It also helps solve the standard equation Ax²+bx+c=0.
As a result, when graphed the function will be shown going down. Due to the fact that f (x) = -1/2 (x+3) 2 -4 is a negative function, this means that the parabola will be opening downward.
x 4 0.(x 2)(x 2) 0.The two factors are (x+2) and (x-2). If EITHER is equal to zero, the corresponding value of x is a root.Solving the two factors for x:(x+2)=0 x=-2(x-2)=0 x 2The two roots (solutio22ns) are x=2 and x=-2.ANS: x= 2Checking:(2) 4 4 4 0(-2) 4 4 4 0
A review of the research literature showed that confounding definitions related to elementary school instructional organization, limited research, and contradictory and inconclusive findings contribute to the difficulty of determining the impact of departmentalization on elementary school students. Also problematic are stakeholders’ influences on instructional organization decisions and how these decisions are viewed in terms of institutional factors such as rules, structures, and social and professional norms.
MS Office Integration simplifies the sharing of information. Working in a medical office is a prime example of how information is shared. We have doctors, nurses, EMT’s, office personnel and patients all sharing the same network.
3. How small must the combination of F and X be to make this an
The Excel document contains the rubrics I used for preproduction, production and post-production of the final group project. The rubrics are based on the types of employee evaluations that students could see from an employer. They hit on many of the benchmarks used by a supervisor in the industry to evaluate the effectiveness of an employees work. Each phase of the production process had an artifact that students had to collectively or individually produce. Preproduction had the paperwork (including storyboards, script breakdowns, strip boards, schedules, budgets, etc.) and the production meeting to present the plan for the production. The production stage had the raw footage that was recorded, including both audio and visual recordings. Postproduction had the finished edit of the piece, or the edit that was turned in by the students for evaluation.
First I plugged in the info to the graph because without the info I wouldn’t be able to get my rise and run. Then I did a line of best fit because the plottings weren’t a straight line and I’m trying to find the rise/run.Then I got the
She will need to know that polynomial functions when graphed can vary; they can open up or down. They can also grow or shrink.
Standard: A1.4. Linear functions, equations, and inequalities (Algebra) Students understand that linear functions can be used to model situations involving a constant rate of change. They build on the work done in middle school to solve sets of linear equations and inequalities in two variables, learning to interpret the intersection of the lines as the solution. While the focus is on solving equations, students also learn graphical and numerical methods for approximating solutions to equations. They use linear functions to analyze relationships, represent and model problems, and answer questions. These algebraic skills are applied in other Core Content areas across high school courses.
Hand Written Copy for Project One Paper support Assumption list Sales Budget | Unit Price | Input | Prior Month (March) Sales | Input | Unit Sales Increase | Input | | | | | Production Budget | Inventory On Hand | Input | Max Inventory (Greater Than) | Input | March 31, Total Inventory | Input | | | | |
With zeros of a±b. If we say that a = 2 and b = -3, then this function has zeros of 2±(-3). In this form of zeros, we can say that 2 is the x value of the vertex coordinates, lying on the axis of symmetry of Y2 on the x-axis, and ±3 are just the distances between the mid point 2 to the points where Y2 intersects x-axis. It is clearly shown on the graph below.
Abstract—Research compiled from video lectures and articles retrieved from the internet is the basis for the findings in this article related to solving a cubic equation. The noteworthy mathematicians and their contributions to the solution and their understanding of the cubic equation is included. Also included is an example of a cubic equation solved using Descartes’ Factor Theorem.