Basic Math question and answers for October 30, 2024
- Q Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)f(x) = x...
- Q Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relativemaximum, a relative minimum, an absolute maximum, an absolute minimum, or none of...
- Q The function E(x)=0.0031x +0.0046x +0.164x+1.9 gives the approximate total earnings of a company, in millions of dollars, where x = 0 corresponds to 1996, x= 1 corresponds to 1997, and...
- Q Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.)f(x) = x4 4x + 5
- Q Employees of a publishing company received an increase in salary of 5% plus a bonus of $800. Let S(x) = 1.05x+800 represent the new salary in terms of the previous...
- Q Jonny is writing a program for a video game. For one part of the game he uses the rule given below to move objects on the screen.Showing all your work,...
- Q Determine whether the graph of the following function has symmetry about the x-axis, they-axis, or the origin. Check your work by graphing.f(x) = 3x5 + 3x-4f(-x) = A. The function...
- Q Determine a polynomial f that satisfies the following properties. (Hint: Determine the degreeof f. Then substitute a polynomial of that degree and solve for its coefficients.)f(f(x)) = 9x-12
- Q For the given functions, find (fog)(x) and (gof)(x) and the domain of each.f(x) =6/1 - 5x 89(x) =(fog)(x) =(gof)(x) =What is the domain of fog?OA. (-?0,0) U (0,5) U (5,00)OC....
- Q Let s(1) give the number of acres of wetlands in a state in year 1. Assume that the area of wetlands goes down over time. What does the statement tell...
- Q Describe how the given function can be obtained from one of the basic graphs. Then graph the function.g(x) = (x + 5) +1Describe how the given function can be obtained...
- Q Describe how the graph of g(x) = 1/X+2 - 3 can be obtained from the graph of f(x) = 1/XHow can the graph of g(x)=A. Shift the graph right 2...
- Q Consider the following function.f(x) = x/9 + 7(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)x = 0(b) Find the open intervals on which the...
- Q Determine whether fhas an inverse function. If it does, find the inverse function and state any restrictions on itsdomain.
- Q To determine the critical numbers of g(x), set g'(x) equal to zero and solve for x.Since there is no point for which g'(x) does not exist, x = 1 is...
- Q Consider the following function.f(x) =x13/13-lnx(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)x =(b) Find the open intervals on which the function is increasing or...
- Q Determine whether the following equation defines y as a function of x.x + y = 1Does the equation x+y=1 define y as a function of x?YesNo
- Q Question: Find the polynomial function, f, such that there is a local minimum at x = 1, a localmaximum at x = 2, a maximum value f(0) = 18, and...
- Q Each answer choice below gives a function f(x) and a proposed function f-(a). Find the pairs which are really inverses by checking whether f(f(x)) = x.Select all correct answers.Select all...
- Q Consider the following function.f(x) =(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)x=(b) Find the open intervals on which the function is increasing or decreasing....
- Q In a class of 120 students, everybody would take two hamburgers if the price were zero, and no one wouldbuy hamburgers if the price were $4 or more.Assume that the...
- Q Use a graphing utility to approximate the real solutions, if any, of the given equation rounded to two decimal places. All solutions lie between -10 and 10.- 2x4+9=3x+5What are the...
- Q The functions f and g are defined as f(x) = 8x - 7 and g(x) = - 7xa) Find the domain of f, g, f + g, f-g, fg, ff,...
- Q Find the composite functions (f. g) and (g. f). What is the domain of each composite function? (Enter your answer using intervalnotation.)domainf(x): =(f. g)(x) =domainXg(x) = x - 25(g. f)(x)...
- Q Graph the equation by plotting points. Verify the results using a graphing utility.y=x-1Use the graphing tool to graph the equation.
- Q Find the domain and range for f (x) = -3 | x-2 | +5.Domain (-?0,00), Range (-?0,5]Domain (-00,00), Range (-?o, -3]O Domain (-?0,2], Range (-?0,-3]Domain (-?0,00), Range [5,00)
- Q Determine the roots and multiplicity of each root for f(x) = (x - 2)(x + 5) .Root x = 4 with multiplicity 2 and root x =Root x = 2...
- Q Determine the end behavior of f(x) = -x4 - 3x7 - 10x + 10.O The left end extends down and the right end extends up.O Both ends extend up.O The...
- Q 4. Let: N? R be defined by f(x) = x. Range of the function among the following isa. {1, 4, 9, 16,...}b. {1, 4, 8, 9, 10,...}c. {1, 4, 9,...
- Q 3Use function notation to rewrite the function y =-X-1using h as the function name.The function written in function notation is.(Use integers or fractions for any numbers in the expression. Do...
- Q For the following exercises, find functions f(x) and g(x) so the given functions can be expressed ash(x) = f(g(x)). There are multiple possible answers. If the answers require exponents, enter...
- Q Given f(x)=?x and g(x) = x - 25, evaluate each expression.
- Q Begin by graphing f(x)=3*. Then use transformations of this graph to graph the given function. Be sure to graphand give the equation of the asymptote. Use the graph to determine...
- Q Describe how to transform the graph of y = e on to the graph y = -e+ 4.The graph has a vertical shift down 4 units, a reflection over the...
- Q Solve the following by graphing.If one solution, type that point in for both points.If no solution, type in "NS".x - y = 32x - y = 3
- Q Select the answers that best complete the given statement.The exponential function f with base b is defined by f(x)=, b>0 and b# 1. Using interval notation, the domain of this...
- Q suppose g is a one-to-one Tunction with the following values.g(-6) = 6Which of the following must be true?Select all correct answers.Select all that apply:g(-6) = -6g (-11) = 9g (-11)...
- Q Find the domain and the range of the function. (Enter your answers using interval notation.)h(x)= = -?x+2
- Q Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.x=y + 14Select all...
- Q Find a linear function h, given h(6)= -24 and h(-3)=21. Then find h(7).h(x) =(Type an expression using x as the variable. Simplify your answer.)h(7)= (Simplify your answer.)
- Q The one-to-one function h is defined belowh(x) = 4x-5 / 7x+1Find h?(x), where h? is the inverse of h.Also state the domain and range of h? in interval notation.
- Q Sketch the graphs of the three functions by hand on the same rectangular coordinate system. Verify your results with a graphing utility.f(x) = xg(x) = 1/5x^2 +3h(x) = -1/5x^2
- Q Given the graph of y = f(x), shown as a red dashed curve, drag the green movable points to draw the graph ofy = -f(x).Notice that you can control the...
- Q Let f(x) = x? - x - 2x.Identify the graph of f (x). [Hint: Use the zeros, the local behavior, and the end behavior to help you graph the function.]
- Q The one-to-one function f is defined below.f(x) = -3x / x - 7Find f?(x), where f? is the inverse of f.Also state the domain and range of f? in interval...
- Q The one-to-one function h is defined below.h (x) = 9x-8 / 7x +9Find h?(x), where h? is the inverse of h.Also state the domain and range of h? in interval...
- Q Let f(x) be a polynomial function.One of the zeros of f (x) is -2. What is the factor corresponding to this zero?-2xx + 2x - 22x
- Q Let f (x) be a polynomial function.If one of the zeros of f (x) is -3i, what is another zero of f (x)?
- Q Find the zeros of f(x) = x - 5x - 9x + 45.List the zeros from least to greatest. Separate the zeros with commas.
- Q Find the zeros of f(x) = x + 2x -9x - 18 given that x + 2 is a factor.The zero that corresponds to the factor of x+ 2 isThe...
- Q Find a degree 4 polynomial with real coefficients that has zeros of -1, 3, 2i, such that f(2)= 48.f(x)=-2 (x +1) (x ? 3)(x + 4)f(x) = (x + 1)(x...
- Q The function V(t) = - 3100+ 18000, where V is value and t is time in years, can be used to find the value of a large copy machine during...
- Q The one-to-one function f is defined below.f(x) =7x / 7-3xFind f(x), where f? is the inverse of f.Also state the domain and range of f? in interval notation.
- Q A ball is thrown straight up, from 3m above the ground, with a velocity of 14 m/s. Itcan be modeled by the function below. When will the ball hit the...
- Q Given the following equation, solve for x.e2x-5=e5x+1x=-2x=1x=2no solution
- Q Selecting an option will display any text boxes needed to complete your answer.No Solution ()One SolutionTwo Solutions
- Q g(x) = cax is a way of symbolizing any exponential function. Choosespecific numbers for c and a and make a table that contains ordered pairs,(x, y), that fit your exponential...
- Q On a separate piece of paper, graph the piecewise functionf(x) ={ x x ? 3 } ...
- Q Write a function based on the given parent function and transformations in the given order.Parent function: y=1/x(1) Stretch vertically by a factor of 3.(2) Reflect across the x-axis.(3) Shift downward...
- Q If f(x)=1-5x, find each of the following.(a) f(-6) (b) f(0) (c) f(9)(a) f(-6)(Simplify your answer.)
- Q Without graphing, determine whether the equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these.y=x +13Choose the correct answer below.x-axisy-axisoriginnone...
- Q Determine the domain and range of f-(a), given f(x) = 22x-1+3.Domain: (-?, ?) Range: (3, ?)Domain: (1, ?) Range: (3, ?)Domain: (3, ?) Range: (-?,?) Domain: (1/2,?) ...
- Q Given y = 1/3log(2x), which of the following represents the logarithmic equation rewritten intoexponential form?2ey=x10=3y10 = 2x10 = 6x
- Q Consider the quadratic function f(x) = -2x + 4x + 2. Find the y-intercept and the equation of the axis of symmetry.The y-intercept is 2.The equation of the axis of...
- Q Describe how to transform the graph of y=e* on to the graph y=-e^x- +4. The graph has a vertical shift up 4 units, a reflection over the x axis and...
- Q f(-2) =f(-1) =Using the function f(x) given above, find thefollowing function values:f(0) =f(1) =f(2)=[3-x,f(3) =x < -12.x. 1<x<3x 235-x,If the answer is no solution, write "nosolution".
- Q Find each of the following functions.(a) fogf(x) = 5-3x, g(x) = cos(x)State the domain of the function. (Enter your answer using interval notation.)(b) gofState the domain of the function. (Enter...
- Q Evaluate the function f(x)=x + 7x + 1 at the given values of the independent variable and simplify.a. f(-7) b. f(x + 2)c. f(-x)a. f(-7)= (Simplify your answer.)
- Q Given the function f(x) = x-2 and g(x) = 1/2x+3, which describes the transformationsapplied to the function f(x) so it falls onto g(x)? The graph of g(x) has a vertical...
- Q a. What strategies might the company use to deal with this increase in costs? Choose all that are reasonable.A publisher for a promising new novel figures fixed costs (overhead, advances,...
- Q A house was valued at $100,000 in the year 1995. The value appreciated to $150,000 by the year 2000.A) If the value is growing exponentially, what was the annual growth...
- Q Use a graphing utility to approximate (to two decimal places) any relative minima or maximaof the function. (If an answer does not exist, enter DNE.) *f(x) = x (x +...
- Q Express the function h(z) =-2 .3^2x in the form h(x) = ( o g)(z) where (x) ?x and g(x) ?xa) g(x) = b) f(x) =
- Q Determine an equation for the pictured graph. Write your answer in factored form and assume theleading coefficient is either 1 or -1.If you have trouble seeing the behavior at the...
- Q For the functions f(x)=2-x and g(x)=x + 4x-32, find f+g, f-g, fg, and f/g(f+g)(x) = 4x - 30 (Simplify your answer.)What is the domain of f+g? Select the correct choice...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!