Begin by graphing f(x) = In x. Use transformations of this graph to graph thegiven function. Graph and give the equation of the asymptote. Use the graphs todetermine the function's domain and range.12-6-g(x) = 8 - In x3-Graph g(x) = 8 - In x. Graph the asymptote of g(x) as a dashed line. Use thegraphing tool to graph the function.1512 969 12Click toenlargegraphWhat is the equation of the vertical asymptote of g(x)?What is the domain of g(x) = 8 - In x?(Simplify your answer. Type your answer in interval notation.)What is the range of g(x) = 8 – In x?(Simplify your answer. Type your answer in interval notation.)

Answered: Image /qna-images/answer/87ec52d7-f81a-43c6-bd1b-7397cdb3ad7a.jpg

Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. 12- 9- 6- g(x) = 8 - In x 3- Graph g(x) = 8 - In x. Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. 36 12 1512 -9 6 Click to enlarge graph What is the equation of the vertical asymptote of g(x)? What is the domain of g(x) = 8 - In x? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = 8 - In x? (Simplify your answer. Type your answer in interval notation.)

Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. 12- 9- 6- g(x) = 8 - In x 3- Graph g(x) = 8 - In x. Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. 36 12 1512 -9 6 Click to enlarge graph What is the equation of the vertical asymptote of g(x)? What is the domain of g(x) = 8 - In x? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = 8 - In x? (Simplify your answer. Type your answer in interval notation.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.1: Rational Functions And Asymptotes

Problem 5ECP: A business has a cost function of C=0.4x+8000, where C is measured in dollars and x is the number of...

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(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
A business has a cost function of C=0.4x+8000, where C is measured in dollars and x is the number of units produced. The average cost per unit is given by C=Cx=0.4x+8000x,x0. a. Find the average costs per unit when x=1000,x=8000,x=20,000,andx=100,000. b. What is the horizontal asymptote of the graph of this function, and what does it represent?
Use the graph to determine any local maxima or minima.
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