Basic Math question and answers for October 29, 2024
- Q Begin by graphing f(x)= log x. Use transformations of this graph to graph the given function. Graph and give theequation of the asymptote. Use the graphs to determine the function's...
- Q Which set of words describes the end behavior of the function f(x) = 0.4(2x-9)(3x + 1)(x-7)(x+9)?Select the correct answer below:rising as x approaches negative and positive infinityO falling as x...
- Q Solve the equation.r-14=23
- Q Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection.f(x) = -5x-3x-1*****Select the correct choice below...
- Q f(x) =For each function h given below, find a formula for h(z) and the domain of h.Note: When entering interval notation in WeBWork, use I for oo, -I for -00,...
- Q Select the statement that correctly describes the end behavior of f(x) = 8 - 2x + 4x.As x gets larger and larger in either the positive or negative direction, f(x)...
- Q Find a so that the graph of f(x) = log ax contains the point (19,2).*****a =(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions...
- Q Which of the following are exponential functions?Select all correct answers.Select all that apply:j(x) = 12(8)xh(x) = 14(4.9)xf(x) = 9(2/3)xg(x) = 11(-4)x k(x) = 6(?1)x
- Q Determine the vertical asymptote(s) of the function. If none exists, state that fact.3x - 7x-6f(x) =Select the correct choice below and, if necessary, fill in the answer box(es) to complete...
- Q Given f(x) = 7x and g(x) = 5x +6, find the following expressions.a) (fog)(4) (b) (gof)(2) (c) (fof)(1) (d) (gog)(0)
- Q A factory produces widgets and zurls. The combined number of widgets and zurls made each day cannot be more than 12. The maximum number of widgets the factory can produce...
- Q Given f(x) = 5x and g(x)= 8x + 1, find the following expressions.(a) (fog)(4) (b) (gof)(2) (c) (fof)(1) (d) (gog)(0)(a) (fog)(4) = (b) (gof)(2) =(c) (fof)(1) = (d) (gog)(0) =
- Q For f(x) = 4x + 4 and g(x) = 6x, find the following composite functions and state the domain of each.(a) fog(b) gof(c) fof(d) gog(a) (fog)(x) =
- Q An object with initial temperature 160 F is submerged in large tank of water whose temperature is 70F . Find a formula for F(t), the temperature of the object after...
- Q Mary sells homemade jewelry through an online shop. She found that each time she increases the price of each necklace by $2, she sells three fewer necklaces per week. Mary...
- Q Spinelli/NinanEXTRA CREDITdue wed!1.What is the equation of a line passing through the point (5, -3) and parallel to the line whoseequation is 4y - x = 8?
- Q 1. Devin is selling small bags of cookies at a fundraiser for $1.25 each. If the amount of money he makes, m, selling b bags of cookies is modeled using...
- Q For f(x) = 4x+4 and g(x) = 6x, find the following composite functions and state the domain of each.(a) fog(b) gof(c) fof(d) gog(a) (fog)(x) = 24x +4 (Simplify your answer.)Select...
- Q QuestionIf the function y = = eis vertically compressed by a factor of 3, reflected across the y-axis, and then shifted down 2 units,what is the resulting function? Write your...
- Q Consider the following function.1(x+4)Step 1 of 2: Determine the more basic function that has been shifted, reflected, stretched, or compressed.Answerg(x) = -2/15Correctf(x) =
- Q After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world population is expected to slow dramatically in the twenty-first century. The functionG(t)...
- Q Consider the graph of the function f(x) = (x-5)(x-12) / (x+3)(x-2)(x-5)What is the y-intercept? Write your answer in the form (x, y) and use fractions if necessary.
- Q Consider the function below. (If an answer does not exist, enter DNE.)f(x) = ex + e-x(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)Find...
- Q Sketch the graph of the function. Identify any local extrema and points of inflection.f(x) =x-4/x+3What are the coordinates of the relative maxima? Select the correct choice below and, if necessary,...
- Q Given that the polynomial f(x) has 8 x-intercepts, which of the following most accurately describes the degree of f(z)?Select the correct answer below: The degree of f(x) is at least...
- Q Given that the polynomial f(x) has degree 8, which of the following most accurately describes the number of turning points of f(x)?Select the correct answer below:The graph of f(x) has...
- Q Consider the function f(x) = x + 16x + 60x + 40.If there is a remainder of -5 when the function is divided by (x - a), what is the...
- Q Find the inverse of the function f(x) = 2x + 5.Provide your answer below:f-(x) =
- Q Use synthetic division to find the result when x4-2x - 4x48 is divided by x - 3.Write your answer in the form q(x) +r(x)/d(x) where g(x) is the quotient, r(x)...
- Q Consider the function:f(x) = -5x + 120x + 3x - 1Determine the intervals on which the function is concave upwards or concave downwards.
- Q CorrectThe safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and inversely as the length,...
- Q Find the domain of the function f(x)=x-16x-4Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choiO A. The domain is {x}.(Simplify your answer....
- Q Consider the function:f(x) = 5x + 120x + 3x - 1Step 2 of 2: Locate any points of inflection. Enter your answer as (x, y)-pairs.AnswerHow to enter your answer (opens...
- Q Based on the degree of the polynomial f(x) given below, what is the maximum number of turning points the graph of f(x)can have?f(x) = (x-7) (x ? 6) (x+4)
- Q Which of the following is a power function? Select all correct answers.Select all that apply:? f(x) = 6 16? f(x) = 4?xf(x) = 10.32Of(x) = 5.15*f(x) = -183 XFE
- Q What is the leading coefficient of a third degree polynomial function that has an output of 1,272 when x =of -6, 7i, and -7i?Provide your answer below:= 2, and has...
- Q Evaluate the function.10) f(a)=a; Find f(-4)A) 64C) 1B) 100D) 16
- Q Given that the polynomial f(x) has degree 7, which of the following most accurately describes the number of turning points of f(x)?Select the correct answer below:The graph of f(x) has...
- Q As a approaches negative infinity, for which of the following functions does f(x) approach negative infinity? Select all that apply.Select all that apply:f(x) = -5x8f(x) = 7xf(x) = x +...
- Q g(x) = 4xf(x)=-3x+3Find (g. f)(x)A) 2x - 11x + 12B) -12x + 12xC) -12x - 12xD)-x+x+4x-4
- Q Consider the following function.f(x) = -3/10 |x|Identify the general shape of the graph of this function.
- Q Write a quadratic equation having the given number as a solution.9, only solution (Hint: It must be a repeated solution.)
- Q Find the real zeros of f. Use the real zeros to factor f.f(x)= x +6x-9x-14The real zero(s) of f is/are(Simplify your answer. Type an exact answer, using radicals as needed....
- Q Suppose that the number of employees in a new company is expected to grow, with the number ofemployees modeled by N = 1000(0.02)0.7, where t is the number of years...
- Q The president of a company predicts that sales will increase rapidly after a new product is brought to the market and that the number of units sold monthly can be...
- Q Graph f(x) = 4x-3 + 2 using transformations by first graphing the basic exponentialfunction (parent function), then the progression of transformations (in the correct order).State the domain, range, and horizontal...
- Q Choose the term from the box that best completes each statement.end behaviorsymmetric about a lineeven functionpower function1. A function is2. The.and as x approaches negative infinity.3. A(n)4. A function is.if...
- Q Solve the inequality. Express your answer using set notation or interval notation. Graph the solution set.4-3x? - 14Choose the correct answer below that is the solution set to the inequality.OA....
- Q Find all complex solutions of 2x-x+6=0.(If there is more than one solution, separate them with commas.)x =X0.0..0/6?
- Q Consider the function f(x) = x + 3x - 3:(a) Evaluate f(2)(b) Evaluate f(-2)(c) Find all x such that f(x) = 7(d) Find all x such that f(x) = 9(For...
- Q Rational functions vand w both have a point of discontinuity at x = 7. Which equation could represent function w?A MX)= V(X-7)B. M(x) = V(x+7)C. M(x)=V(x-7)+7 D. M(x) = V(X)...
- Q The square of y varies directly as the cube of x. When x = 4, y = 2. Which equation can be used to find other combinations of x and...
- Q Select the correct answer.The domain of rational function g is the same as the domain of rational function f. Both fand g have a single x-intercept at x = -10....
- Q Select the correct answer.Consider these functions:f(x) = -2x - 1g(x) = -1/2 x + 1/2Which statements, if any, are true about these functions?1. The function f(g(x)) = x for all...
- Q A solid object is dropped into a pond with atemperature of 20 degrees Celsius. The functionf(t) = Ce-kt) + 20 represents the situation,where t is time in minutes, C is...
- Q Consider this function:f(x)=?x - 4To determine the inverse of the given function, change fx) to y, switch and solve forThe resulting function can be written as f(x) = x +...
- Q The number N of bacteria after t hours is N(t) = A 2. Initially there are 150 bacteria.How many are there after 7 hours?N(7) ==
- Q In 2012, the population of a city was 6.47 million. The exponential growth rate was 1.89% per year.a) Find the exponential growth function.b) Estimate the population of the city in...
- Q Recall that one method for treating this type of limit is by taking the natural logarithm. If we let y = [f(x)]?(x),then In(y) = g(x) In (f(x)). Applying this method...
- Q The domain of the function in interval notation is (-?, 3) U (3,?)(b) Simplify the rational expression defining the function.f(x)=x^2+x-12/x-3simplifies to f(x) = ___where x?___
- Q t)NextMATo get a better look at the graph, you can click on it.The curve above is the graph of a sinusoidal function. It goes through the point (4,0). Find a...
- Q Evaluate the function.f(x) =?x + 3x + 13Find f(-10)
- Q The exponential functionD(t) = 347(1.024)tgives the number of bachelor's degrees, in thou-sands, earned in the United States t years after 1970(Sources: National Center for Educational Statistics;U.S. Department of Education). Find...
- Q Suppose that the polynomial function fis defined as follows.f(x)=7(x-13)(x+11) (x-11) (x+8)List each zero off according to its multiplicity in the categories below.If there is more than one answer for a...
- Q . Salvage Value. A landscape company purchased abackhoe for $56,395. The value of the backhoe eachyear is 90% of the value of the preceding year. Aftert years, its value, in...
- Q Macy is studying graphs of functions y = f(x). Each set in the table contains some points on a particular graph. Decide whether each set of points MIGHT BE on...
- Q An object moves in simple harmonic motion with period 8 minutes and amplitude 12 m. At time t=0 minutes, its displacement d from rest is - 12 m, and initially...
- Q Fill in the blanks.The exponential function given by f(x) = e is called the ---Select- base and its approximate value is---Select--- function, and the base e is called the (Round...
- Q Describe the end behavior of the polynomial below using limit notationf(x) = (2x - 4x + 1)(x-17)
- Q For each pair of functions f and g below, find f(g(x)) and g (f(x)).Then, determine whether fand g are inverses of each other.Simplify your answers as much as possible.(Assume that...
- Q Your car radiator can hold 20 liters of fluid. Many automotive stores sell jugs of pure antifreeze, but some also sell jugs of antifreeze that have been premixed with water....
- Q Let y = 2(x-4)^2-8.Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that...
- Q Find the domain and the range of the given relation.{(0,-5), (-4,1), (9,5), (5,9)}The domain is. (Use a comma to separate answers as needed.)The range is. (Use a comma to separate...
- Q Describe the transformation(s) of g (z) = (x+4)-3 from its parent function of f(x) = xleft 4, up 3left 4 down 3right 4 up 3right 4, down 3up 4, right...
- Q Describe the transformation of f(x) = 10x which is given by g(x) = 103x.A) g(x) is shrunk horizontally by a factor of 1/3 compared to f(x).B) g(x) is stretched horizontally...
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