2. Find the logarithmic function f(x) = log,(x – h) + k whose graph is given below. Make sure you justify your answer.

Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A:

Q: Consider the function f (x) = log10 x.   When f (x) is increased by one unit, x must have been…

A: For the function f (x) = log10 x..............................................(1)   When f (x) is…

Q: Find the domain of the function h(x) = log3(x + 6)2.

A: Given function: hx=log3x+62

Q: Q3) A set of data is shown to have a linear relationship if transformed into the function…

A: It is given that. after transforming of data (X and Y), we get a linear relationship between x and y…

Q: Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (3, 1) 1.0 0.5 X 1 2 3 4…

A: We have to find the function

Q:

A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

Q: How does the graph of J (x) = log(10000x) compare with the graph of f (x) = log x

A: We have that the graph of fx=log x is:

Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

A:

Q: How is the logarithmic function y = log a x defined?

A: To define the given logarithmic function.

Q: If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to find resulting function.

Q: Find the function of the form y = log,(x) whose graph is given. y = y 1.0F 0.5 (4, 1/3) 1 2 3 4 5…

A: We have to find logarithm function

Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

A:

Q: Find the equation of the vertical asymptote f(x)=log(x+5)

A:

Q: Compare the graphs of f(x)=2x+4 and g(x)=log2(x-4). What line are the two functions reflected over?

A: Topic- function

Q: Find the function of the form y = loga x whose graph is given.

A: Graph of the function is given we have to find its equation of the form y=logax Formula:logax=y…

Q: snip

A: The exponential function and the logarithmic function is strictly increasing functions for x > 0.…

Q: Find the domain of the function. g(x) = log5 (x + 1/x )

A: f(x)=log5x+1x

Q: Disprove the statement log(x + y) = log x + log y by, a) Letting y equal a positive constant of your…

A: Given  The statement log(x + y) = log x + log y

Q: snip

A: The domain of a function is set of values for which the function is defined. For a logarithmic…

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: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: Differentiate the function with respect to x f(x) = 2* · log37*²-4

A: If hx and gx are two differentiable function and fx=hxgx Then f'x=gx×ddxhx+hx×ddxgx

Q: What happens to the rate of change of the logarithmic function y = loga x as a becomes larger?

A: What happens to the rate of change of the logarithmic function y = loga x as a becomes larger?…

Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: Find the function of the form y log,(x) whose graph is given.

A: Given that: Graph of f(x)

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: The logarithmic parent function y = log (x) has been transformed. What is the equation of the new…

A:

Q: Find the linearization of the natural logarithm f(x)=lnx at x=1.

A:

Q: Find the domain of the function. f(x)= log %3D

A:

Q: 2. Compute for the value of x in a given logarithmic inequalities loga(x+1) > log:(x2). a. x > ½ b.…

A:

Q: 1. If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to calculate resulting function after translation.

Q: Q1 Given that f, g and h are functions of the variable x, differentiate (c) x+ logfog h

A:

Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

A:

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

A:

Q: Approximate the function at the value of x to four decimal places.

A: h(x)=log4x-2log81.2x        ..............x=5.3

Q: 12. Determine the y-intercept of the function y=log, (x+81).

A:

Q: True or False The graph of f(x) = loga x, where a > 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Given function is, fx=logax, where a>0 and a≠1.   Use the properties of logarithmic function, The…

Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…

Q: The natural logarithmic function f1x2  ln x has theasymptote x 

A: Graph of f(x):

Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx