(1 point) The graph below is a vertical and/or horizontal shift of y=1/x (assume no reflections...
(1 point) The graph below is a vertical and/or horizontal shift of y1/x (assume no reflections or compression/expansions have been applied) (a) The graph's equation can be written in the form f(x)+B x+ A for constants A and B. Based on the graph above, find the values for A and B and B= (b) Now take your formula from part (a) and write it as the ratio of two linear polynomials of the form, f(x) = x+ D for constants...
3. Consider the function y log to(+3). Determine the following: a) Vertical shift or phase shift if exist b) Vertical or Horizontal Asymptote if exist c) X and Y intercepts if exist d) Graph the function with table values.
the graph of y= cos x is transformed to y=a cos (x-c)+ d by a vertical compression by a factor of 1/4 and a translation of 3 units down. the new equation is?
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
The figure below shows the graph of a rational functionſ. It has vertical asymptotes x-1 and x-5, and horizontal asymptote y 0. The graph does not have an x-intercept, and it passes through the point (-4,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. (0) -8 X-b a(x - 1) X-C (x - 2) (x -...
(1 point) A Bernoulli differential equation is one of the form dy dc + P(x)y= Q(x)y" Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = yl-n transforms the Bernoulli equation into the linear equation du dr +(1 – n)P(x)u = (1 - nQ(x). Consider the initial value problem xy + y = 3xy’, y(1) = -8. (a) This differential equation can be written in the form (*)...
The figure below shows the graph of a rational function. It has vertical asymptotes x = 1 and x = 6, and horizontal asymptote y=0. The graph has x-intercept 3, and it passes through the point (5,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. :() (*) - a(x-6) X- 10 S(x) = (x - 2)(x...
A) Assume a linear relationship between the variables Y and X , and that Y is the variable measured on the vertical axis while X is the variable measured on the horizontal axis. A straight line describing this relationship has a y-axis intercept of 10 and a slope of -1.25. What is the equation for this line? B) Is the relationship between Y and X positive or negative? How can you tell just by looking at this equation? C) Use...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
Sketch the graph of the function. Identify 1. Vertical and horizontal asymptotes 2. X and Y intercepts 3. The interval that your function increasing or decreasing X-1 f(x) = x+2 Show all of your work on paper and submit it on canvas your won't get any credit for the last answer without submission on Canvas