Homework Answers
Answer) To answer this question in a clear manner,let's first have a look at the graph of f(x) = ln(x)
Given above is the graph of f(x)=ln(x).
As you can see on the graph at x=1,f(x) is
0.Therefore,f(x) goes through (1,0). As x tends to
0 then f(x) tends towards -
.
Therefore, x=0 is a vertical asymptote of
ln(x).
so, option (b)The graph goes through (1,0) and has x=0 as a vertical asymptote is correct.
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6.4 A. Which answer describes the graph of the logarithmic function f(x) = Inx? (a) The...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the parent function. y = X y 8 6 4 NO x -8 -6 - 4 -2 2 4 6 8 (-2, -3) -6 Note that the equation of the given graph will be of the form f(x) = a logo function y = logb(x), and compare the x-intercepts and vertical asymptote identifiable intentheah halte determine the constanta
Sketch the graph of a function with the following characteristics: f(-2) = ( f(0) = 1...
Sketch the graph of a function with the following characteristics: f(-2) = ( f(0) = 1 f(3) = 0 f(4) = 1 Vertical Asymptote at x = 2 Horizontal asymptote at y = 3 + + - f' number line -2 0 2 3 + + - fnumber line -2 0 2 {Label any relative extrema and points of inflection}
Please tell me which options I need to select and what I have to type in. Thank you! 3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determi...
Please tell me which options I
need to select and what I have to type in. Thank you!
3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine...
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the coordinates of the three points of the graph of y=e* to determine the corresponding points that lie on the graph of f(x) = -ex+6 Points that lie on the graph of y=e Points that lie on the graph of y=e* (-2,5) (0,1) (1,) Corresponding points that...
Write an expression, of the type A log(x +B), for the transformed logarithmic function shown below:
Write an expression, of the type A log(x +B), for the transformed logarithmic function shown below: f(x) = _______ Hint: Use the vertical asymptote to find B. To solve for A, use a point on the graph and substitute the coordinates into: y = A log(x +B).
Find all vertical and horizontal asymptotes of the graph of f (x) Hint: Factor the numerator...
Find all vertical and horizontal asymptotes of the graph of f (x) Hint: Factor the numerator and the denominator. x²-x-6 2x²+x-6 A) Vertical asymptote: x = 3 2 ; Horizontal asymptote: y = 아 OB) Vertical asymptotes: x = { and x = -2; Horizontal asymptote: y = 1 OC) Vertical asymptotes: x = { and x = -2; Horizontal asymptote: y NI- OD) Vertical asymptote: x = Ž i Horizontal asymptote: y = 1 O E). Vertical asymptotes: Y...
00 The information below tells us about the behavior of the rational function f around its...
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range:...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range: c. lim f(2)= D. lim $(=) E lim f(x) & lim f(x) G. lim f(z)- H. lim f(z) 1. lim f(1) J. Lim f(x)= K vertical asymptote(s): L. horizontal asymptote(s):
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and...
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and its multiplicity (cross or touch): y-intercept(s): Vertical asymptote(s), if any. Determine the behavior of the graph of R on either side of each vertical asymptote. Horizontal asymptote or oblique asymptote, if any: Additional points
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to...
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the parent function. y = X y 8 6 4 NO x -8 -6 - 4 -2 2 4 6 8 (-2, -3) -6 Note that the equation of the given graph will be of the form f(x) = a logo function y = logb(x), and compare the x-intercepts and vertical asymptote identifiable intentheah halte determine the constanta
Sketch the graph of a function with the following characteristics: f(-2) = ( f(0) = 1 f(3) = 0 f(4) = 1 Vertical Asymptote at x = 2 Horizontal asymptote at y = 3 + + - f' number line -2 0 2 3 + + - fnumber line -2 0 2 {Label any relative extrema and points of inflection}
Please tell me which options I
need to select and what I have to type in. Thank you!
3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the coordinates of the three points of the graph of y=e* to determine the corresponding points that lie on the graph of f(x) = -ex+6 Points that lie on the graph of y=e Points that lie on the graph of y=e* (-2,5) (0,1) (1,) Corresponding points that...
Find all vertical and horizontal asymptotes of the graph of f (x) Hint: Factor the numerator and the denominator. x²-x-6 2x²+x-6 A) Vertical asymptote: x = 3 2 ; Horizontal asymptote: y = 아 OB) Vertical asymptotes: x = { and x = -2; Horizontal asymptote: y = 1 OC) Vertical asymptotes: x = { and x = -2; Horizontal asymptote: y NI- OD) Vertical asymptote: x = Ž i Horizontal asymptote: y = 1 O E). Vertical asymptotes: Y...
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range: c. lim f(2)= D. lim $(=) E lim f(x) & lim f(x) G. lim f(z)- H. lim f(z) 1. lim f(1) J. Lim f(x)= K vertical asymptote(s): L. horizontal asymptote(s):
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and its multiplicity (cross or touch): y-intercept(s): Vertical asymptote(s), if any. Determine the behavior of the graph of R on either side of each vertical asymptote. Horizontal asymptote or oblique asymptote, if any: Additional points
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
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