Question

Need someone to check this, sorry for it being messy:

Use the following information to make a sketch of f(x)

f(-4)=-2, f(0)=3, f(3)=0
Limit as x approaches -2 from the left f(x)=
-infinity
Limit as x approaches -2 from the right f(x)=
-infinity
Limit as x approaches negative infinity from the left f(x)=infinity
limit as x approaches infinity f(x)=8
Derivative of f(x) is positive on (-2,0) and (3,infinity)
Derivative of f(x) is negative on (infinity,-2) and (0,3)
2nd deriv is postive from (-infinity, -4)
2nd deriv is negative from (-4,-2), (-2,3) and (3, infinity)

Answer 1

My answer: http://gyazo.com/14075af970b5fe272ea7f9a4b0fa6b40