In Problems 27-30 (a) Sketch the graph of a transformed tangent function with the given propertie...
12 Find the equation and sketch the graph of a rational function that passes through (0,0) and 6,35 . has the x-axis as a horizontal asymptote, and has two vertical asymptotes x- 1 and x1 The equation of the function is y (Simplify your answer. Use integers or fractions for any numbers in the equation.) Choose the correct graph below. в. Ос. O D.
Please tell me which options I need to select and what I have to type in. Thank you! 3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...
2. Sketch the graph of a function where all the following properties hold. For full marks, clearly and carefully label all intercepts, relative extrema, inflection points, and asymptotes. • Domain: (-0,0) • Continuous everywhere • Differentiable everywhere except at x = -3 • f(0) = 6 • lim f(x) = 0 • l'(-2) = f'(0) = 0 • f'(x) < 0 on (-0, -3) and (0,0) • f'(2) >0 on (-3,0) lim f'(x) = 0 and lim f'(x) = -0...
Sketch the graph of a function f where all the following properties hold. For full marks, clearly and carefully label all intercepts, relative extrema, inflection points, and asymptotes. • Domain: (-0,00) . Continuous everywhere • Differentiable everywhere except at x = -3 • f(0) = 6 • lim f(x) = 0 • f'(-2) = f'(0) = 0 • f'(x) <0 on (-0, -3) and (0,0) • f'(x) > 0 on (-3,-2) and (-2,0) lim 1' (x) = and lim f'(x)...
Problems 27-28. Sketch the graph of the quadratic function. Label the vertex and two additional points. 27) f(x) +4x-3 28) gx) 20+4)-3 10 10 10 x 10 510x -10 -5 10 1of -10 29) Standing atop a 64-foot platform, Susan throws a softball into the air at an initial speed of 48 feet por second. The distance above the ground h at t seconds is given by h-16t2 +48t 64. a) Find the height of the softball after 2 seconds....
For all problems -given a transfer function G(s) sketch the magnitude and phase characteristics in the logarithmic scale (i.e. Bode-plots) of the system using the following rules-of-thumb: i. "Normalize" the G(s) by extracting poles/zeros, substituting s-jw and writing the TF using DC-gain KO and time-constants i. Arange break-points (poles, zeros or on for complex-conjugate poles) in ascending order ii Based on the term Ko(ju)Fk, determine: initial slope of the magnitude-response asymptote for low frequencies as F k 20 dB/dec (e.g....
can you do the odd #'s In Exercises 64 -69, sketch the graph of y g(x) by starting with the graph of y f(x) and using transformations. Track at least three points of your choice and the vertical asymptote through the transformations. State the domain and range of g. 64. f(r)=log2(x), g(x) = log2 (ar +1) 65. f(r) log (), g() log () +1 66. f() log3 (r), g(x)-log3(x - 2) 67. f(x) log(ax), g(x) 2 log(x + 20) -1...
please solve b and c 3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...
Problem #14 a.) sketch the graph of the given function for three periods b.) Find the fourier series for the given function (& #18 if can do) 12. In each of Problems 13 through 18: Verify equations (6) and (7) in this section by direct integration. a. Sketch the graph of the given function for three periods. b. Find the Fourier series for the given function. f(x) =-x, -L < x < L; f(x + 2L) = f(x) 13. 1,...
Chapter 4 tch the graph. Each part Use the function below on the interval specified to answer the following questions and ske counts equally. f(x)= ex sin(x), [-π, π] a. Find any x- and y-intercepts for the specified interval. Show work. b. Find any horizontal and vertical asymptotes. Show work. c Give the intervals in interval notation where the function is increasing and where it is decreasing for the specified interval. Show your work. You may show your work in...