In Problems 3-10, use the given information to sketch the graph off. Assume that f is continuous on its domain and that all intercepts are included in the table of values.
4. Domain: All real x;

6.Domain: All real x, except

8.Domain: All real x, except x = 1;
f(O) = -2,f(2) =0;
fʹ(x) fʹʹ(x) f"(x) > 0 on (l, ˆž);
vertical asymptote: x = 1;
horizontal asymptote: y = -1
10. Domain: All real x, except x = - 1; and x = 1;
fʹ(-2) = 1,f(0) = 0; f(2) = 1;
fʹ(x) > 0 on (- ˆž,- l) and (0,1);
fʹ(x) f"(x) > 0 on (-ˆž, -1), (-1,1) and (1, ˆž);
vertical asymptote: x = -1 and x = 1;
horizontal asymptote: y = 0

Transcribed Image Text:

rlin/(x)--3; lim,f(x) = 3 -21 2 0 ND x = 1; lim f(x) olim,f(x) = oo; lim o. Imf(x) =-2 0 2 0 0++ +ND-