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Consider f(x) = 2(x b)2 + 2. a State the coordinates of the vertex. b Find the axes

Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa ISBN: 9781921972089 446

Solution for problem 4 Chapter 25

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 4

Consider f(x) = 2(x b)2 + 2. a State the coordinates of the vertex. b Find the axes intercepts. c The graph of function g is obtained by translating the graph of f vertically through b units. For what values of b will the graph of g: i have exactly one x-intercept ii have no x-intercepts iii pass through the origin?

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MAT 211­Lecture #1­ Section 15.1­Functions with Several Variables M/W/ F 9­9:50 AM Coor 199 Office Hours: M/W/F 1:15­ 3:00 PM ECA 209 R(x)= Revenue function in terms of number of items x P(x)= Profit function in terms of number of items x C(x)= Cost function in terms of number of items x P(x)= R(x)­ C(x) ­most of functions depend on more than one variable ­function with a single variable has a rule that assigns a unique output for every input x­­­­­> f ­­­­­> y=f (x) Ex.: ​(x)= e​+ 1 or f(x)= +2x+5 +2x+5 = 3x​ Linear Functions: y= mx+b ​ m= slope (rate of change) b= vertical intercept Ex.:​ f(x)= 3x+2 y= 3x+2 Ex.: A car salesperson’s yearly salary is $30,000. He/ she makes $500 per car sale. x= number of cars he/ she sells s(x)= yearly salary in terms of x s(x)= 30,000+ 500x ­A real valued function f of x,y,z, etc. is a rule that assigns a unique output value for each sequence of input values x,y,z,etc. Ex.: Function with 3 variables w= f(x,y,z)= x+2y+z Find: f(0,0,0)= 0 Find: f(1,2,3)= 8 x=1, y=2, & z=3 Find: f(a,3,4)= a+10 x=a, y=3, & z=4 Find: f(x+h,3,1)= (x+h) +

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Chapter 25, Problem 4 is Solved
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Textbook: Mathematics for the International Student: Mathematics SL
Edition: 3
Author: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa
ISBN: 9781921972089

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Consider f(x) = 2(x b)2 + 2. a State the coordinates of the vertex. b Find the axes