Begin by graphing f(x) = log 2x. Then use transformations of this graph to graph8-the given function. What is the vertical asymptote? Use the graphs to determinethe given function's domain and range.6-4-g(x) = log 2(x + 1)2-XDetermine the transformations that are needed to go from f(x) = log ,x to the-10 -8-6 -4-2-2-2.8 10given graph. Select all that apply.-4--6O A. stretch vertically-8O B. shift 1 unit to the rightO C. shrink verticallyD. reflect about the x-axisO E. shrink horizontallyO F.reflect about the y-axisO G. shift 1 unit to the leftO H. stretch horizontallyOI.shift 1 unit downwardO J. shift 1 unit upwardGraph the function g(x) = log 2(x + 1). Graph the asymptote of g(x) as a dashedline. Use the graphing tool to graph the function.Click toenlargegraph

Given, The function gx = log2x+1 We have to graph the function using transformation, plot the…

Begin by graphing f(x) = log ,x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine the given function's domain and range. g(x) = log 2(x + 1)

Begin by graphing f(x) = log ,x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine the given function's domain and range. g(x) = log 2(x + 1)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.3: Logarithmic Functions

Problem 105E: DICUSS DISCOVER: The Number of Digits in an integer Compare log1000 to the number of digits in...

See similar textbooks

Related questions

Q: Sketch the graph of f

A: Consider the function: fx=loga3-x. Sketch the graph of fx. To plot the graph of fx=loga3-x for…

Q: Graph f(x) = 5 log,(x) below. First locate the vertical asymptote, then plot two points on the…

A: Explanation of the answer is as follows

Q: Begin by graphing f(x) = log2x. Then use transformations of this graph to graph the given function.…

A: Given, the function f(x)=log2x. Then we have to find the domain and range of the function…

Q: Find the domain, x-intercept, and vertical asymptote of the logarithmic function y = log5(x − 1) + 4…

Q: State the domain, vertical asymptote, and end behavior of the function. h(x)=−log(3x−5)+3

A: Domain of f(x) is where f(x) is define for which value of x Given function is h(x)=-log(3x-5)+3 For…

Q: What is the vertical asymptote of the function f (x)= log(x+4) + 2

Q: Begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the function h(x) =…

A: To Determine: Begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the…

Q: Graph the function g (x) = log; (x + 1) and give its domain and range using interval notation.

Q: Graph the function f(x) = -3 log4 (x + 5) + 2 on the axes below. You must plot the asymptote and any…

A: The given function is f(x)=-3log4(x+5)+2

Q: The equation of the vertical asymptote for the function y= 4 log(x + 3) is Ox = 3 x = -3 Ox = -4 Ox…

Q: Make a complete graph of the following function. ƒ(x) = x ln x

Q: Begin by graphing f(x) = log 2x. Then use transformations of this graph to graph the given function.…

Q: Find the equation for the vertical asymptote of the function f (x) = log (3x – 48). %3| (Caution:…

A: Given: fx=log3x-48

Q: Graph the function f(x) = log, (-a + 1)-8 on the axes below. You must plot the asymptote and any two…

Q: Begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function…

A: given: f(x)=log2x the graph of the function f(x)=log2x is:

Q: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2 x.

A: given: the function f(x)=2x the other function is g(x)=log2x. let the given function f(x)=2x as y.…

Q: Find the domain of the function f(x) = log3(x + 6).

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1

Q: (b) Draw the graph of the following function. f(x) = log (x + 2) – 3 Use the graph to determine its…

A: The given function is: fx=log2x+2-3 To graph the function fx=log2x+2-3, first graph the gx=log2x.…

Q: Write the equation of the asymptote for this function: f(x) = log2(x - 1).

Q: Sketch the graphs of f(x) = 2x and g(x) = log2 (−x) on the same coordinate axis, and label at least…

Q: Graph the log function using the 6 steps method shown to you in class. Be sure to include and label…

Q: Find the domain of the function. g(x) = log3(x2 - 1)

A: Given function - g(x) = log3x2-1For a logarithmic function to be defined, the input to logarithm…

Q: The graph of the function f(x) = log6(x) is stretched vertically by a factor of 3, reflected over…

Q: Sketch the graph of f, and use the change of base formula to approximate the y-intercept.

A: Given: log4x+log8x=1 Sketch the function.

Q: Draw a graph of the function and use it to determine the asymptotes and the local maximum and…

A: The asymptote of the function is the line or point at which the value of the function tends to…

Q: Begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function…

A: The given equation is fx=log2x.

Q: Begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function…

A: Given The function is f(x) = log2 x and h(x) = 1 + log2 x .

Q: Sketch the graph of the function f (x) = log.(x + 2) + 3, where c > 1. State the Domain and Range…

Q: 18. h(x) = – log (3x – 4) + 3

A: Given function

Q: Sketch the graph of the function. State the domain, range, and asymptote. f(x) = 3 + log5(x + 4)

A: Given function f(x) = 3 + log5(x + 4)

Q: Graph f(x) = 4 log, (x + 3) below. First locate the vertical asymptote, then plot two points on the…

A: Logarithm graph

Q: Graph the function f(x) = -3 log3 (r- 6)-8 on the axes below. You must plot the asymptote and any…

Q: Sketch the graph of the function by plotting points. f(x) = log3x

A: given : f(x) = log3 x Graph the function by plotting the points in the…

Q: Begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function…

A: Given: fx=log2x, gx=log2x+2 graph of gx by using graph of fx can be draw as below here, blue one is…

Q: Graph the function f(x) = -2 log3 (x + 4) +7 on the axes below. You must plot the asymptote and any…

Q: Use the graph of f(x)=log1/2x to graph the function f(x)=log1/2(5-x)

A: Since we have to use the graph of f(x)=log1/2x So, we graph f(x)=log1/2x first. So, we pick values…

Q: Find the domain, x-intercept, and vertical asymptote of the logarithmic function…

Q: Sketch the graph of f.

A: Given: f(x)=log416x

Q: Begin by graphing f(x) = log 2x. Then use transformations of this graph to graph the given function.…

A: The graph of the function f(x)=log2x will be as shown below:

Q: Graph the function f(x) = -3 log, (-x – 7) +4 on the axes below. You must plot the asymptote and any…

A: Given, The function is fx=-3log2-x-7+4.

Q: Sketch the graph of the function by plotting points: g(x)=log4x

Q: Draw the graph of the function in a suitable viewing rectangle, and use it to find the domain, the…

A: To graph the function, y = log10(1 - x2) And using the graph, to find domain, the asymptotes, and…

Q: Find the domain, r-intercept, and vertical asymptote of the logarithmic function f(z)-- log (r+2)…

A: Find domain , intercept and asymptote

Q: Sketch the graph of: y = log5 x. State the: Domain: Range: Vertical asymptote: 10 x-intercept:

A: The given function, y=log5 x

Q: Find the domain of the function. h(x) = log3 ( x/(x - 1))

A: Given function: hx= log3xx-1

Question

Begin by graphing f(x) = log 2x. Then use transformations of this graph to graph
8-
the given function. What is the vertical asymptote? Use the graphs to determine
the given function's domain and range.
6-
4-
g(x) = log 2(x + 1)
2-
X
Determine the transformations that are needed to go from f(x) = log ,x to the
-10 -8
-6 -4
-2
-2-
2.
8 10
given graph. Select all that apply.
-4-
-6
O A. stretch vertically
-8
O B. shift 1 unit to the right
O C. shrink vertically
D. reflect about the x-axis
O E. shrink horizontally
O F.
reflect about the y-axis
O G. shift 1 unit to the left
O H. stretch horizontally
OI.
shift 1 unit downward
O J. shift 1 unit upward
Graph the function g(x) = log 2(x + 1). Graph the asymptote of g(x) as a dashed
line. Use the graphing tool to graph the function.
Click to
enlarge
graph

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Asymptote$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

The natural logarithmic function f(x)= In (x1) has the ____________ asymptote x =____.
How the Logarithm IncreasesIf logx=8.3 and logy=10.3, how do x and y compare?
The natural logarithmic function f(x)=Inx has the ____________ asymptote x =____.
Use the result from the previous exercise to graph the logistic model P(t)=201+4e0.5t along with its inverse on the same axis. What are the intercepts and asymptotes of each function?
Graph f(x)=log(x). State the domain, range, and asymptote.
The function f(x)=5x is an exponential function with base______; f(2) =_______, f(0) =______, f(2) =_______, and f(6) =_______.
What strategy would you use to graph fx=log5x?
Sketch a graph of the function f(x)=3log(x2)+1. State the domain, range, and asymptote.
How do you find the domain of a logarithmic function?
Match the logarithmic function with its graph. (a) f(x)=log2x (b) f(x)=log2(x) (c) f(x)=log2x (d) f(x)=log2(x)
Find the inverse function f1(x) for the logistic function f(x)=c1+aebx. Show all steps.
DICUSS DISCOVER: The Number of Digits in an integer Compare log1000 to the number of digits in 1000. Do the same for 10,000. How many digits does any number between 1000and10, 000 have? Between what two values must the common logarithm of such a number lie? Use your observations to explain why the number of digits in any positive integer xislogx+1. The symbol n is the greatest integer function defined in Section 2.2. How many digits does the number 2100 have?