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Math Calculator

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You do not always need a calculator to do math nor do you need a graph. Sometimes you can just look at an equation and do math. That is why I always say, work smarter not harder. The objective of this project is to study polynomial of degree equations by using Microsoft word and excel. Also identify ways to come up with the answer different ways without a calculator or graph. Polynomials include end behavior, zeros, local extreme, rules of signs, intermediate value theorem, rational zero theorem, remainder theorem, remaining zeros, and intercepts. An end behavior is the appearance of the graph when the graph goes the opposite direction. The end behavior is based off the x-axis. If the graph starts in the negative and proceeds to the positive, …show more content…

It can also have more than once bend. In local extrema you can either have a maximum or minimum. To find the exact numbers of the local extrema you have to use the calculator. First you go to Y= and type in the equation , then go to zoom and click on zoom fit and press enter, after you press enter the graph should pop up. Finally go to Y= and press 2nd graph and it should be able to give you the points of the local extrema. To find the local extrema while looking at your polynomial you would look at D. If F of X is greater than or equal too D you have a local minimum. However, if F of X is less than or equal to you have a local maximum. My polynomial does not have any local extrema. Zeros in polynomial are the same as x-intercepts and roots. To Find the roots in an equation you have to get x by itself. For instance, Y= 2x+10, you can use the calculator and press second graph to find the exact points. There are two types of zeros, complex and real. Finding the exact number of zeros make take some time. It mostly consist of algebra with adding, subtracting, multiplying, and dividing. When finding the zeros the best way to do it is use the graphing calculator. First you see where the graph crosses the x- axis and that can quickly narrow down your list of possible

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Well in this case I guess I would find and graph the Y-intercept. And then I would take the pointer and move three times to the right of the graph and then two points to the bottom Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

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It will return the arc cosine of x in terms of radians. double asin (double x) It will return the arc sine of x in terms of radians. double atan (double x) It will return the arc tangent of x in terms of radians.

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-What is the domain of an algebraic expression? Domain is a set of values for the variable for which the expression makes sense. You can’t have zero in the denominator. As a result of this, restrictions are needed to list the values for the variables in which the denominator would equal zero. Closed dot on timeline =

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Because this was written on a Chromebook, free applications that are both robust and available online without requiring a downloaded program was key. Google Docs has built-in mathematical typesetting that is easy to use, allowing for both typed shortcuts and simply clicking the option on the menu (if the shortcut is forgotten). For more intensive purposes, the options available in Google Docs may not be sufficient, but for the purpose of this project it was adequate. While there is an add-on for Google Docs that allows for both the construction of equations and graphs, the graph is not created in real-time as the function is being entered.

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Write 9-4x^2-x+2x^4 in standard form You first look at all the the numbers in the polynomial and see which coefficient has the highest number exponent. (the degree) which is 2x^4. Then you keeping descending down so -4x^2 would be next. Then you look at the numbers and variables in the problem, all you have left is 9 and -x you always put the variable first so it would be -x, then 9. So your answer would be

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Basic Operators Besides assigning a variable an initial value, we can also perform the usual mathe- matical operations on variables. Basic operators in Python include +, -, *, /, //, % and ** which represent addition, subtraction, multiplication, division, floor divi- sion, modulus and exponent respectively. Example: Suppose x = 5, y = 2 Addition:

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The following graph shows a seventh-degree polynomial: graph of a polynomial that touches the x axis at negative 5, crosses the x axis at negative 1, crosses the y axis at negative 2, crosses the x axis at 4, and crosses the x axis at 7. Part 1: List the polynomial’s zeroes with possible multiplicities. Part 2: Write a possible factored form of the seventh degree function.

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824 Words | 4 Pages

3.3-Discrete orthogonal transform It is generally used in enhancement of images that have various properties we have many transforms such as: Discrete Hartley, Fourier, Cosine transforms, etc... All of these transforms has similar properties. Every transform has equation for transformation. 3.4-Alpha Rooting Is a method that deals with many of orthogonal combinations as Fourier, Hartley, Haar Wavlet, and Cosine .the mathematics for Alpha Rooting: X ( p, s) α −1 = X ( p, s)

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To graph population or disease, we needed to use exponents; in equation-form, the exponent was an X, but it could be substituted for any number, which would represent the year. You would also find the current population or number of cases and divide them by the amount the previous year (the starting number) and add that to one to find the rate, which would show you if it was growth or decay. Finally, you use the starting number as your constant or y-intercept. If you were trying to graph the decay of a population, the equation could be: y=150,000(1.5)x; if you were trying to graph decay, the equation could be: y=150,000(0.5)x. You can replace X with any number (number of years) to find the population in the future (positive number) or in the past (negative numbers).

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The eight most commonly utilized graphs are linear, power, quadratic, polynomial, rational exponential, logarithmic, and sinusoidal. Domain and Natural Domain: Each function has a domain, the arrangement of (input) values over which it is characterized. In the event that I don 't state what the domain is, by tradition we take the domain to be all (real) numbers for which the expression characterizing the function can be evaluated. We call this the "natural domain" of the function.

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That is where stoichiometry comes along, which is the quantitative relationships or ratios between two or more substances undergoing a physical or chemical change in a balanced equation. It identifies the mole ratio between reactants and products. To understand stoichiometry you have to understand the products and reactants, which involves how to solve balanced reactions. This allows chemists to determine how many moles of a product will be produced from a specific number of moles of a recant or how many moles of reactant are needed to produce a specific amount of a product.

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The purpose of the M&M Math Project was to figure out what is the most and least recurring color M&M in a regular M&M bag and if the most and least common would change if the M&M product was changed such as to the Pretzel M&Ms. First, I bought four packs of regular & pretzel M&Ms. Next, I put one pack of M&Ms into four bowls, then, separated the M&Ms into six colors and counted them by color and did the same for the Pretzel M&Ms. The results were fairly close to what I had hypothesized.

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804 Words | 4 Pages

Using technology can increase our access to information, improve teaching efficiency and can make learning more enjoyable. At the ASMS we use technology to enhance our learning during school assignments ad tasks. Maths and Abstract Thinking, a central studies topic, gave me the opportunity to use technology to create a company log during a functions and graphs folio task. Using GeoGebra , mathematical software, and my knowledge around functions and graphs I created a logo for a self-created business ‘Ashley Platt’s Delectable Delights’ (see figure 1). Using technology allowed me to plot inequalities and line equations, skills gathered during the topic, with ease to create an accurate and unique design that met the requirements of the task.

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849 Words | 4 Pages

Main Activity Students will be given a quadratic equation that is not easily factorable. The zeroes of the function are not easily identifiable. The class will approximate what the zeroes are. (Spiraling the learning) Ask Class: what the zeroes mean? The x-intercepts of the parabola on a coordinate plane)

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571 Words | 3 Pages

As it is right now, logarithms is defined as a mathematical power or exponent to which any particular number called the base which is raised in order to produce another particular number. It’s common base of 10 and the symbolic notation as Log (a*b)= log (a) + log (b). Logarithms allows you to use addition to do multiplication and to separate the exponent on one side of the equation and it’s used to reduce the needed amount of work by a large amount, way more than half. Carela 2 Logarithms are just an inverses of exponentials for example: y=3, the inverse of it would be y= log3 x. It can also be graph by making a table with y and x. To graph this type of log, the

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