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. \(F(x)=x^{5}-5 x\)
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 a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. 1. y = 2
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs) 6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
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...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer y = x + 1 intercept (x, y) = -1.0 relative minimum (x, y) = ( I relative maximum (x, y) = points of inflection (x, y) = (smallest x-value) (x, y) = (x, y) = (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify...
1. Use methods of algebra and calculus to analyze the graph of the function$$ f(x)=\frac{-x^{3}-x+5}{2 x^{3}+3 x^{2}-7} $$Include all the following in your analysis:a) the domainb) interceptsc) equations of asymptotes (both vertical and horizontal)d) relative extrema (be sure to provide all derivatives, identify critical numbers, and show the test for those values - naming the test you are using.)e) intervals where the function is increasing or decreasingf) inflection points (be sure to identify possible inflection points and be sure to...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of infection, and asymptotes. (If an answer does not exist, enter DNE.) Rx) xvx intercept (x, y) (smaller x-value) (targer x-value) relative minimum )- relative maximum (X) = point of Inflection (x,y) = Find the equation of the asymptote. Use a graphing utility to verify your results. 6 Web 4 matem Get Homework Hep With Chegastu Google Account -2 Wesign
Use the steps below to sketch the graph y = x^2 - 7x - 18. Required points are the x intercepts and the max and mix of the graph 1. Determine the domain of f. 2. Find the x- and y-intercepts of f.† 3. Determine the behavior of f for large absolute values of x. 4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where f is increasing and where f is decreasing....
i need help with c, d, and e 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....
| Sketch the curve of the function f(x) = + unction f(x) = "* [r'(x) = 2*, S"(x) = 205*] Do this by determining the following information: domain, vertical asymptotes and limit - behavior, horizontal asymptotes, x \& y intercepts, symmetry, intervals of increase/decrease and maximum/minimum points, intervals of concavity and inflection points