Reference no: EM13122656
Part I:
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
Given the polynomial f(x) = 2x3 + 5x2 - x - 5, answer the following questions:
Graph the polynomial. What is the degree of the polynomial?
Explain the constant in the polynomial and how it relates to the graph.
Define the x-intercepts of the polynomial.
Explain the relative maximum and relative minimum of the polynomial in the interval [-3,2]. Is there a different between the relative maximum
and minimum and the absolute maximum and minimum?
Part II:
What is a rational function? Give an example. For your example, answer or perform the following:
Graph the rational function.
Give the domain and range of the rational function.
Find the vertical and horizontal asymptotes of the rational function.
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What is meant by a function
: Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
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Outstanding bank loan problem
: A small business owner holds $4,000 in cash; $1,200 in materials; $10,000 in land and $32,000 in plant and equipment. His accounts payable total $9,000 and he has an outstanding bank loan totaling $18,800. what is the owners equity?
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Write down the conditions required for the spline
: Why would we want to do this? Why not just use Newton's Interpolatory Divided Difference formula to get an nth degree interpolating polynomial? Write down the conditions required for the spline S(x) to fit the data and have 6 continuous derivative..
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Calculate the total dollar amount of discount
: Calculate the total dollar amount of discount or premium amortization during the first year (5/1/04 through 4/30/05) these bonds were outstanding. (Show computations and round to the nearest dollar.)
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Rational functions-polynomials
: Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
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Define difference between sales journal and accounts
: Can you distinguish between accuracy of tests of gross accounts receivable and tests of the realizable value of receivables?
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Units-of-production depreciation
: Compute the depreciation for each of the three years, assuming the use of units-of-production depreciation.
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Slope and intercept in real life
: Need to provide a real world situation where the slope and intercept have some meaning in reality. The situation needs to describe what the dependent and independent variables are and what the slope and intercept means in terms of the real paramet..
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Solve numerical analysis and root finding
: Describe the first iteration--i.e. write down the formula for the next point x2 and the decision that has to be made. Solve Numerical Analysis and Root Finding
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