5. (6 points) Analyze the graph of the rational function f(x) = x + x -12...
Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. 1. y = 2
5. For the graph of this rational function, state the domain and write the equations of any asymptotes and coordinates of any hole. 4M Domain : Hole : Vertical asymptote(s) : Horizontal Asymptote : 6. For the graph of this rational function, identify the equations of any asymptotes and the coordinates of any hole. f(x) = - 2x + 10 x x? - 25 4M V.A.:
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
Analyze and sketch the graph of each function. Local intercepts, relative extrema, points of inflection and asymptotes. State for each problem the following: domain, range, intercepts, symmetry, asymptotes (horizontal and/or vertical asymptotes), critical numbers, points of inflection. a. \(Y=x^{2}+1 / x^{2}-9\)b. \(Y=x^{2} / x^{2}+3\)c. \(\mathrm{Y}=\frac{1}{3}\left(x^{2}-3 x+2\right)\)d. \(\mathrm{F}(\mathrm{x})=\frac{1}{x e^{x}}\)e. \(F(x)=x^{5}-5 x\)
For the rational function f (x) = x2-1x (x - 2) a. Calculate the equations of all its asymptotes. b. Discuss the behavior at the extremes of the function. c. Graph the function using the information in the preceding paragraphs. For this, supplement the information with a table of values with a minimum of 10 points. Include the intercepts with the axes in your table of values
Sketch the graph of two periods of the function. Label the key points showing intercepts, asymptotes, and the location of any maximum and minimum values. Give any phase shifts or vertical shifts as necessary. 6. Graph on the same axes f(x)= 3sin(x+1) Show 5 key points
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points
The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes", Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. : None O=o (0,0) Dando Vertical asymptote(s): 1 Horizontal asymptote(s): U [0,0] (0,0) (0,0) O ovo 00 - - -8 EEE-- - -6 1 (b)...
A rational function is given. f(x)= 6x2+1/2x2+x-1 Find all vertical asymptotes, if any, of the graph of f. Find all horizontal asymptotes, if any, of the graph of f.
2. Graph the given rational function. Fill in the chart before graphing. Be sure to label any information from the chart on the graph. 2x3 - 6x2 y = x2 - 16 18 Fill in the chart showing any work required. x-intercept(s) y-intercept(s) Vertical Asymptotes Horizontal or Oblique Asymptotes Sign Diagram/Sign Line 16+ 12 10 8+ 64 4 23 6 10 12 -8 -12-10 4- -6+ -8 -10+ -12 -14+ -167