The graph shows the rational function f (x) and the logarithmic function g(x).-10-9-8-7f(x)Ol onlyOI and II only10OI and III onlyO I, II, and III987543154A-2-1-1-3& A-5949-101234Which of the following feature(s) do the graphs of f(x) and g(x) have in common?1. x-interceptII. end behaviorIII. vertical asymptote5g(x)6 7 8 9 10

Answered: Image /qna-images/answer/72f018fb-836e-464c-b0a0-594bdd0c96a5.jpg

Answered: The graph shows the rational function f…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.CR: Chapter Review

Problem 79E

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13. Inventory The yearly inventory expense E, in dollar, of a car dealer is the function of number Q of automobiles ordered at a time from the manufacturer. A dealer who orders a only few automobiles at a time will have the expense of placing several orders, whereas if the order sizes are large then the dealer will have large inventory of unsold automobiles. For one dealer, the formula is, E=425Q2+8000Q So E is a rational function of Q. a. Make a graph of E versus Q covering order sizes upto 10. b. Explain in practical terms the behavior of the graph near the pole at Q=0. Hint: Keep in mind that there is a fixed cost of processing each order, regardless of the size of the order
Transformations of y=1/x A rational function ¡sgiven. (a) Find all vertical and horizontal asymptotes, all x- and y-intercepts, and state the domain and range. (b) Use transformations of the graph of y=1/x to sketch a graph of the rational function, and state the domain and range of r. r(x)=2x+5x+2
A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y= -3 and the graph passes through the ordered pair (5,0). Which of the following rational functions satisfy these given properties?
a rational function f(x) has one vertical asymptote =2 and one horizontal asymptote, y=-3. Also, the graph of f(x) passes through the ordered pair (5,0). Determine an equation for f(x) with these properties a) f(x)= -(3x-15)/(x-2) b) f(x) = (3x)/(2-x) c) f(x) = -(3x+15)/(x-2) d) f(x) = (3x+10)/(2-x)
Find a possible formula for the function which has zeros at x=3 and x=−4. It has a vertical asymptote at x=2 and x=−3. It has a horizontal asymptote of y=6, and a y-intercept at (0,12). Give your formula as a reduced rational function. What is f(x)?

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