4. Given f(x)= 
f'(x)=
f"(x)=
a) Provide a complete analysis of f(x) and complete the passage. Show all your work in the space provided below.
“f(x) has x-intercept(s) of __________ and y-intercept of __________. It has two types of asymptotes: one type is _______________ asymptote(s) at __________________ and the other type is _______________ asymptote(s) at __________________. f(x) decreases for
____________________________________ and has (how many?) _____________ local extrema. The graph concaves up for ____________________________and concaves down for ____________________________. The point(s) of inflection is at ___________. The domain of f(x) is _______________________ and the range is _______________________”
b) State the asymptotic and end behaviours.
c) Use the information to sketch f(x).
4. Given f(x)= f'(x)= f"(x)=
a) Provide a complete analysis of f(x) and complete the passage. Show all your work in the space provided below.
“f(x) has x-intercept(s) of __________ and y-intercept of __________. It has two types of asymptotes: one type is _______________ asymptote(s) at __________________ and the other type is _______________ asymptote(s) at __________________. f(x) decreases for
____________________________________ and has (how many?) _____________ local extrema. The graph concaves up for ____________________________and concaves down for ____________________________. The point(s) of inflection is at ___________. The domain of f(x) is _______________________ and the range is _______________________”
b) State the asymptotic and end behaviours.
c) Use the information to sketch f(x).
