Question

f(x)= (x+1)^2/1+x^2
a.) Find the domain of 푓(푥).
b.) Find the x and y intercepts.
c.) Determine if 푓(푥) is even, odd, or periodic.
d.) Find any vertical, horizontal or slant asymptotes of 푓(푥).
e.) Find intervals on which 푓(푥) is increasing and on which it is decreasing.
f.) Find any local maximum and minimum values.
g.) Find intervals on which 푓(푥) is concave up and on which it is concave down.

Answer 1

a.) Find the domain of f(x).
b.) Find the x and y intercepts.
c.) Determine if f(x) is even, odd, or periodic.
d.) Find any vertical, horizontal or slant asymptotes of f(x).
e.) Find intervals on which f(x) is increasing and on which it is decreasing.
f.) Find any local maximum and minimum values.
g.) Find intervals on which f(x) is concave up and on which it is concave down.