My book gives me the following notes/steps to sketching 1/f(x) from graph y=f(x):
(1) Find vertical asymptotes
(2) Horizontal asymptote is x-axis
(3) Find the common points when f(x) = + or - 1
(4) The graphs are in the same quadrant, that is, f(x)<0, 1/f(x)<0 and f(x)>0, 1/f(x)>0.
(5) If y =-1/f(x) then:
(a) f(x) =1, y =-1, and f(x) =-1, y=1
(b) f(x) <0, y>0 and f(x)>0, y<0
And i only get the first 2 steps. What does 3,4 and 5 mean, if someone could explain? I am really stuck not knowing how to sketch these graphs and its starting to get annoying being on this chapter for so long.....
And does anyone know any tips to sketching these well?
(1) Find vertical asymptotes
(2) Horizontal asymptote is x-axis
(3) Find the common points when f(x) = + or - 1
(4) The graphs are in the same quadrant, that is, f(x)<0, 1/f(x)<0 and f(x)>0, 1/f(x)>0.
(5) If y =-1/f(x) then:
(a) f(x) =1, y =-1, and f(x) =-1, y=1
(b) f(x) <0, y>0 and f(x)>0, y<0
And i only get the first 2 steps. What does 3,4 and 5 mean, if someone could explain? I am really stuck not knowing how to sketch these graphs and its starting to get annoying being on this chapter for so long.....
And does anyone know any tips to sketching these well?