Students in a mathematics class took a final examination.They took equivalent forms of the exam in monthly intervals thereafter. The average score, f(t), for the group after t months was modeled by the human memory functionf(t) = 75 - 10 log(t + 1), where 0 ≤ t ≤12. Use a graphing utility to graph the function. Then determine how many months elapsed before the average score fell below 65.

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: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 7, shifted to the…

A: The function f(x)=log10(x) is stretched vertically by a factor of 7. So it becomes 7log10(x). Then…

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

A: Given function: hx=log3x+62

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

A:

Q: Sketch the graph of the function by plotting points. f(x) = log2(x) f(x) = log,(x) 22 y y 4 4 2 4 6…

A: We need to sketch the graph of the following function fx = log2x

Q: Find the domain of the function. F(x) = log2 x2

A: To find the domain of the function: F(x)=log2x2 Solution: We know, The logarithmic function is…

Q: Find the domain of f(x) = log4(x - 5).

A:

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

A:

Q: Find a so that the graph of f(x) = loga x contains the point (2, 2).

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

A:

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: 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…

Q: Sketch the graph of f(x) = log3(x + 2).

A: f(x)=log3(x+2)

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

Q: Write the equation of the asymptote for this function: f(x) = log5(x - 2).

A: This is question is about behaviour of functions at infinity

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

A: Given, gx=log2+x-x2

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

A:

Q: Find the domain of f(x) = log(x^2-3)

A: Solve by using properties of logarithmic function

Q: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 3, reflected over the…

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

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: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

Q: Find the intervals in which f(x) =- is increasing or decreasing. log x

A: the given function is: we have to find the intervals in which the given function is increasing or…

Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

A: Given, The number of gallons of a pollutant in a lake is growing according to the function…

Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

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

A:

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

A:

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: Find the domain of the function. H(x) = log5 x3

A: The given function is H(x) = log5 x3

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

A: g(x) = log3 x + 6 g(x) = log3 (x + 6)         We know the domain of  logaX is real numbers greater…

Q: Graph the function, nct by platting points, but by starting from the graphs in the figures below.…

A:

Q: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

Q: The graph of g(x) = log5(-x) is the graph of f(x) = log5 x reflected about the________ .

A: The graph of gx=log5-x is the graph of fx=log5x reflected about the________.

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: what is the domain of the function Y= logy (9x t 12) - 5?

A: y=log44x+12-5

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: Sketch the graph of f.

A: We have the given equation as fx=log2x+4 As we know that, the graph of y=logax; a>0 is drawn as

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: Find the domain of the function. x+4 h(x) = log ɛ %3D

A: We have to find the domain of the function h(x) = log8x+4x.

Q: Use the graphing window below to graph the function f (x) = -2 · log : (x + 5) – 5.

A: The given function is f(x)=-2.log14x+5-5

Q: graph 3 points for G(x)=log3(x-4)+1 and show work

A: We have to find

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

A: Given function: hx= log3xx-1