Question

5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept y-intercept f(2) g(3) h(x)

Answer 1

Question for enor of the pacional donations below setL RO a) fee) g) (x²-3x+2) (6-1) 6-2) polynomial domein vertical Horizmitag Asymprote Asymptoto fse) /R-You y=0 a intercept y - intercept no- y interept - 2 / 2 2 g&) /R-127/2=2 No No re-intercept - 2 / 2 REU R-{1,2}x=1 y=3 0 M=? . (1) we can find domain where denominator of the function is Non-zero. for, 20171 fou) = se to .. domain = R-pos (2) we can find restical asympters by finding lim fent then YzL is vertical asymptore can find Horizontal asymptote by finding dim fon a is the mo, whos denominator vanisher Hyco cos, (w for X- Prtercept where Y=0. azo. (5) for yo tercept whers calerlated room above written notes and shown in the table