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MATH 2040 Test 1 Part 2 - Spring 2018 2 .pdf - Name MATH...

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1Name ____________________________________________MATH 2040Test 1 Part 2Spring, 20181.Write an equation in vertex form for the graph below(𝑦𝑦=π‘Žπ‘Ž(π‘₯π‘₯ βˆ’ β„Ž)2+π‘˜π‘˜), whereπ‘Žπ‘Ž= 1π‘œπ‘œπ‘œπ‘œπ‘Žπ‘Ž=βˆ’1,π‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žβ„Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘˜π‘˜π‘Žπ‘Žπ‘œπ‘œπ‘Žπ‘Žπ‘–π‘–π‘Žπ‘Žπ‘–π‘–π‘Žπ‘Žπ‘–π‘–π‘Žπ‘Žπ‘œπ‘œπ‘–π‘–Each tick mark represents one unit, so the window is -7 < x < 2 and -10 < y < 2.The equation in vertex form is y = ____________________________________The coordinates of the vertex are ____________________________________The vertex is a minimum or a maximum? ______________________________The range of the function written as an inequality or in interval notation is: ________________________2.Use you graphing calculator to find the solution of the following equation, rounded to two decimal places.2βˆ’5π‘₯π‘₯ βˆ’ π‘₯π‘₯2= 0.______________________________________________________________________________________3.The marketing research department of a company that manufactures and sells notebook computers hasdetermined the following revenue and cost functions:𝑹𝑹(𝒙𝒙) =𝒙𝒙(𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐 βˆ’ πŸ”πŸ”πŸπŸπ’™π’™)π‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘ͺπ‘ͺ(𝒙𝒙) =πŸ’πŸ’πŸπŸπŸπŸπŸπŸ+πŸ“πŸ“πŸπŸπŸπŸπ’™π’™π‘€π‘€β„Žπ‘Žπ‘Žπ‘œπ‘œπ‘Žπ‘Žπ‘π‘π‘œπ‘œπ‘–π‘–β„Žπ‘“π‘“π‘“π‘“π‘Žπ‘Žπ‘“π‘“π‘–π‘–π‘–π‘–π‘œπ‘œπ‘Žπ‘Žπ‘–π‘–β„Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘Žπ‘œπ‘œπ‘‘π‘‘π‘Žπ‘Žπ‘–π‘–π‘Žπ‘Žπ‘œπ‘œπ‘“π‘“0≀ π‘₯π‘₯ ≀40Use a y-window from 0 – 25,000.a. Find the break-even points. How many computers must be made for the company to break-even?___________b. Find the profit function P(x). Write the function in simplified form. P(x) = _______________________________c. Using your calculator, find the maximum profit. ______________________________d. How many computers must be sold to make the maximum profit? ________________________e. What is the relationship between the break-even points and the x-intercepts of P(x)?

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Term
Summer
Professor
NoProfessor
Tags
pH, Decimal, Natural logarithm, Logarithm

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