Chapter 20 - 2 Derivatives in Curve Sketching

Try the quiz at the bottom of the page!
 
   Sample problems 
 
 
f '(x) = 3x2 + 6x
 
 

 
 
Current quizaroo #  20b
 
 Answer the following questions about the function
f(x) = x3 + 3x2 - 4
 
1)  What are the x-intercepts of f(x)?
a) (1, 0)
b) (-2, 0)
c) (0, 0)
d) (1, 0) and (-2, 0)
e) doesn't cross x axis
 
2)  What are the critical points?
 
a) (-2, 0) and (0, 0)
b) (-2, 0) and (0, -4)
c) (1, 0) and (0, 0)
d) (1, 0) and (0, -4)
e) Just (0, 0)
 
 
3)  Which point is a local maximum?
a) (-2, 0)
b) (0, 0)
c) (1, 0)
d) (0, -4)
e) doesn't have one
 
4)  What point is a local minimum?
a) (-2, 0)
b) (0, 0)
c) (1, 0)
d) (0, -4)
e) doesn't have one
 
5)  What point is an inflection point(critical)?
a) (-2, 0)
b) (0, 0)
c) (1, 0)
d) (0, -4)
e) doesn't have one
 
 

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