The graph of the function y = –log(x +2) can be obtained from the base function log(x) via: Select one: O a. Translation of 2 units to the left and reflection about the y-axis O b. Translation of 2 units to the right and reflection about the x-axis O c. Translation of 2 units up and reflection about the y-axis O d. Translation of 2 units to the left and reflection about the x-axis

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Q: Use the defination of the logarithmic function to find x.

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Q: It is defined as the inverse of the exponential function with base b, that is, log,(x) = y - x = b)…

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A: This question can be solved using the concept of transformation of curves.

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

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A: If a pair of functions fx and gx are of same order, then limx→∞fg=N where N≠0 is a constant.

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A: We will find the trnasformed function as following.

Q: Q3: Find The Domain of the Function. y = log(5-x) (x- 2)

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A: Givenf(x)=log2x To find Reflection over x-axis and translation 5 units.

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A: Points for the logarithmic functions can be found with the help of the arbitrary points. Put such…

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = − log(x − 3)

A: Consider the given function.

Q: Which function matches the graph? O A. y= log 5(1-x) O B. y= 1- log 5x O C. y= - log 5X O D. y= log…

A: In the following problem, studying the graph we get,

Q: The graph of the function f(x)=log5(x) is stretched vertically by a factor of 2, shifted to the left…

A: Given: The parent function is f(x)=log5(x). Transformations: 1) Stretched vertically by a factor of…

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Q: Describe the transformations made to the parent graph to obtain this function: g (x) = -2 log (x +…

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Q: Graph the function g (x) =-1+log, (x-3) and give its domain and range using interval notation.

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Q: Use the defination of the logarithmic function to find x.

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Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

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Q: a2// A Solve for x Logox + Log1ox = 30 B- E Recognize if the functions are even or odd:

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Q: Identify the domain of the following functions: a) f(x) = log(– 6x + 6) %3D - Domain: b) f(x) =…

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Q: Find the domain of the function. g(x) = log(2 + x - x2)

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A: Given: The parent function is f(x)=log10(x). Transformations: 1) Stretched vertically by a factor of…

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

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

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Q: Identify the domain of the following functions: (a) f(x) = log (-7x-5) Domain: b) f(x) = In (2x-4)…

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Q: A student was asked to determine the y-intercept for the logarithmic function f(x) = log₂(x + 3) +…

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Q: Graph the function g(x)=3.4logeX on the same axes as f(x)= logeX, and describe the effect of the…

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Q: Use the defination of the logarithmic function to find x.

A: Definition of the logarithmic functions helps to find the values of x. Apply the logarithmic…

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A: The graph of -f(x) is the graph of f(x) reflected over the x-axis and the graph of f(x+k) is the…

Q: The parent function f(x) = log5x has been transformed by reflecting it over the x-axis, stretching…

A: Let's find transformation of given function.

Q: The function f(x) = log(x) has been reflected across the x-axis, translated 3 units down, vertically…

A: Given function is fx=logx. Shifting rules of a graph are: 1. If the function y=fx is reflected…

Q: Find the value of x which satisfies the relation  log103+log10(4x+1)=log10(x+1)+1

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Q: Find the domain of the function. .8 F(x) = log 5x° %3D

A: Given:- f(x) = log5(x8) To find:- Domain of f(x)

Q: Graph y = log a 2 as a function of a over the interval 0<a<= 4.

A: Given that 0<a≤4 Rewrite the function as:

Q: Use the graph of f(x) = log 3× to graph the function f(x)= (log 3×) +6. Then give the domain and…

A: The parent function is: f(x)=log3x

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Q: Use the defination of the logarithmic function to find x.

A: Given: log x=3 log e2=x

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A: Given: The graph of approaches, but does not touch, the _______ -axis. The axis, whose equation is…

Q: g(x) = 3 log 2x (0 < x< 10) %3D

A: Here we make the table value and draw the graph...

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Q: Graph the logarithmic function g (x) log,x. To do this, plot two points on the graph of the…

A: GIVEN: g(x) = -log3x

Q: Express the following ratios as ratios of natural logarithms and simplify. log y a log 11 X log 5 x…

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