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).
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Write an expression, of the type A log(x +B), for the transformed logarithmic function shown below:
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
Write the expression as a single logarithm. Express powers as factors. logo - log ex? log...
Write the expression as a single logarithm. Express powers as factors. logo - log ex? log 6VX-log 6x2=0 (Type an exact answer. Use integers or fractions for any numbers in the expression.) Writing log aP - log aq +4 logar as a single logarithm results in which of the following expressions? Choose the correct answer below. log (p - q +4r) o 109.(4) o log. ( 10 10g, (+4) aboo Write the following expression as a sum and/or difference of...
Use the function below to answer the following questions. y = -log, x (a) Use transformations...
Use the function below to answer the following questions. y = -log, x (a) Use transformations of the graph of y = log, x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
6.4 A. Which answer describes the graph of the logarithmic function f(x) = Inx? (a) The...
6.4 A. Which answer describes the graph of the logarithmic function f(x) = Inx? (a) The graph goes through (0,1) and has r = 0 as a vertical asymptote. (b) The graph goes through (1,0) and has x = 0 as a vertical asymptote. The (c) The graph goes through (0, 1) and has y = 0 as a horizontal asymptote. (d) The graph goes through (1,0) and has y = 0 as a horizontal asymptote. (e) The graph is...
This Question: 1 pt Use the definition of a logarithmic function to write the logarithmic equation...
This Question: 1 pt Use the definition of a logarithmic function to write the logarithmic equation as an equation involving an exponent. log 981 = 2 The equivalent exponential equation is 92 = 81 (Type an equation. Do not simplify.) Write the equation in exponential form; then find the unknown value. log2x = 3 The exponential form of the equation is 8. (Do not solve the equation.) Solve the above equation for x. X= 8 This Question: If log 5...
Sketch the logarithmic function. Label three points that lie on the graph, and determine the domain...
Sketch the logarithmic function. Label three points that lie on the graph, and determine the domain and the equation of any vertical asymptotes f(x) = -log, X la-1 Use the graphing tool to graph the function. ua- Click to enlarge -10 B- 545 er- graph Determine the domain of f(x). The domain of f(x)is (Type your answer in interval notation.) Determine the equation of any vertical asymptotes Select the correct choice below and, if necessary, fill in the answer box...
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,...
1) Fill in the blanks. For the following function, briefly describe how the graph can be...
1)
Fill in the blanks.
For the following function, briefly describe how the graph can be obtained from the graph of a basic logarithmic function. Then, graph the function and state the domain and the vertical asymptote. f(x) = log 3(x-2) Describe how the graph of f(x) can be obtained from the graph of a basic logarithmic function. The graph of f(x) = log 3(x - 2) could be obtained by translating the graph of y= log 3x unit(s) to...
1. Consider the transformed function g(x)=-3 +2 of the function (x Then answer the following: a....
1. Consider the transformed function g(x)=-3 +2 of the function (x Then answer the following: a. List the sequence of transformations in a correct order. b. Write the equation of the horizontal asymptote. c. Find the vertical intercept of g(x) written as an ordered pair. d. Find the horizontal intercept algebraically and leave it in an exact form (not decimal approximation). e. Sketch the graph of g(x) 2. Solve the following equations algebraically for x : a. 16-) = 82-1...
Solve the logarithmic equation. Be sure to reject any value that is not in the domain...
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 8) log, x+log, (x -80)=2 A) (-1,811 B) 1-81 ) 1511 D) 191 Graph the function. 9) Use the graph of f(x)=e* to obtain the graph of g(x)=ex-3-1. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions 10) logg...
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
Write the expression as a single logarithm. Express powers as factors. logo - log ex? log 6VX-log 6x2=0 (Type an exact answer. Use integers or fractions for any numbers in the expression.) Writing log aP - log aq +4 logar as a single logarithm results in which of the following expressions? Choose the correct answer below. log (p - q +4r) o 109.(4) o log. ( 10 10g, (+4) aboo Write the following expression as a sum and/or difference of...
Use the function below to answer the following questions. y = -log, x (a) Use transformations of the graph of y = log, x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
6.4 A. Which answer describes the graph of the logarithmic function f(x) = Inx? (a) The graph goes through (0,1) and has r = 0 as a vertical asymptote. (b) The graph goes through (1,0) and has x = 0 as a vertical asymptote. The (c) The graph goes through (0, 1) and has y = 0 as a horizontal asymptote. (d) The graph goes through (1,0) and has y = 0 as a horizontal asymptote. (e) The graph is...
This Question: 1 pt Use the definition of a logarithmic function to write the logarithmic equation as an equation involving an exponent. log 981 = 2 The equivalent exponential equation is 92 = 81 (Type an equation. Do not simplify.) Write the equation in exponential form; then find the unknown value. log2x = 3 The exponential form of the equation is 8. (Do not solve the equation.) Solve the above equation for x. X= 8 This Question: If log 5...
Sketch the logarithmic function. Label three points that lie on the graph, and determine the domain and the equation of any vertical asymptotes f(x) = -log, X la-1 Use the graphing tool to graph the function. ua- Click to enlarge -10 B- 545 er- graph Determine the domain of f(x). The domain of f(x)is (Type your answer in interval notation.) Determine the equation of any vertical asymptotes Select the correct choice below and, if necessary, fill in the answer box...
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,...
1)
Fill in the blanks.
For the following function, briefly describe how the graph can be obtained from the graph of a basic logarithmic function. Then, graph the function and state the domain and the vertical asymptote. f(x) = log 3(x-2) Describe how the graph of f(x) can be obtained from the graph of a basic logarithmic function. The graph of f(x) = log 3(x - 2) could be obtained by translating the graph of y= log 3x unit(s) to...
1. Consider the transformed function g(x)=-3 +2 of the function (x Then answer the following: a. List the sequence of transformations in a correct order. b. Write the equation of the horizontal asymptote. c. Find the vertical intercept of g(x) written as an ordered pair. d. Find the horizontal intercept algebraically and leave it in an exact form (not decimal approximation). e. Sketch the graph of g(x) 2. Solve the following equations algebraically for x : a. 16-) = 82-1...
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 8) log, x+log, (x -80)=2 A) (-1,811 B) 1-81 ) 1511 D) 191 Graph the function. 9) Use the graph of f(x)=e* to obtain the graph of g(x)=ex-3-1. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions 10) logg...
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