Question

use the seven step method described in the book to graph the following rational function. f(x)= x+1/x^2+x-2 1. determine the symmetry of the function. choose the correct answer below. a. the graph of f is symmetric with respect to the origin b. the graph of f is symmetric with respect to the y axis c. the graph of f has neither y axis symmetry or origin symmetry 2. find the y intercept. select the correct choice below and fill in any answer boxes with your choice a. the y intercept is b. there is no y intercept 3. find the x intercept(s) select the correct choice below and fill in any answer box with your choice a. the x intercept(s) are _ (use a comma to separate answers) b. there is no x intercept 4. find the vertical asymptote(s). type the equation(s) of the vertical asymptote(s). select the correct choice below and fill in any answer boxes with your choice a. x = (use a comma to separate answer as needed) b. there is no vertical asymptote 5. find the horizontal asymptote(s). type the equation (s) of the horizontal asymptote(s). select the correct choice below and fill in any answer boxes with your choice a. y = _ (use a comma to separate answers) b. there is no horizontal asymptote 6. plot the points between and beyond the x intercept and vertical asymptotes. type the y coordinate for each of the following points f(x) = x+1/x^2+x-2; (-4),(-3),(0),(3),(4) 7. using the information determined above choose the graph of the rational function

          use the seven step method described in the book to graph the following rational function. 
f(x)= x+1/x^2+x-2 
1. determine the symmetry of the function. choose the correct answer below. 
  a. the graph of f is symmetric with respect to the origin
  b. the graph of f is symmetric with respect to the y axis 
  c. the graph of f has neither y axis symmetry or origin symmetry 
2. find the y intercept. select the correct choice below and fill in any answer boxes with your choice 
  a. the y intercept is 
  b. there is no y intercept 
3. find the x intercept(s) select the correct choice below and fill in any answer box with your choice 
  a. the x intercept(s) are ___ (use a comma to separate answers)
  b. there is no x intercept 
4. find the vertical asymptote(s). type the equation(s) of the vertical asymptote(s). select the correct choice below and fill in any answer boxes with your choice 
  a. x = ____ (use a comma to separate answer as needed)
  b. there is no vertical asymptote 
5. find the horizontal asymptote(s). type the equation (s) of the horizontal asymptote(s). select the correct choice below and fill in any answer boxes with your choice 
  a. y = ___ (use a comma to separate answers) 
  b. there is no horizontal asymptote 
6. plot the points between and beyond the x intercept and vertical asymptotes. type the y coordinate for each of the following points 
f(x) = x+1/x^2+x-2; (-4),(-3),(0),(3),(4) 
7. using the information determined above choose the graph of the rational function

Added by Kelly J.

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