Calculus 1  Hour Exam 1   -   Math 220     Spring, 2010

 

 

 

1.

 

 

 

If the point (7, -2) is on the graph of an even function, f, then which one of the following

points must also be on the graph of f?

 

a.       (2, 7)   b.  (2,-7)   c.  (-2, 7)   d.  (-2,-7)   e.  (7, 2)   f.  (-7,2)   g  (-7,-2)

 

Answer:  g

 

 

 

2.

 

If the point (7, -2) is on the graph of odd function, f, then which one of the following

points must also be on the graph of f?

 

a.       (2, 7)   b.  (2,-7)   c.  (-2, 7)   d.  (-2,-7)   e.  (7, 2)   f.  (-7,2)   g  (-7,-2)

 

Answer:  f

 

 

 

 

 

 

 

3.

 

 

Given a function, f(x), for which  lim  [ f(4 + h) – f(4)]/h  exists, which one of the

following statements is true?

 

a.       f is continuous but not differentiable at x = 0.

b.      f is continuous but not differentiable at x = 4.

c.       f is differentiable but not continuous at x = 0.

d.      f is differentiable but not continuous at x = 4.

e.       f is both differentiable and continuous at x = 0.

f.       f is both differentiable and continuous at x = 4.

g.      f is neither continuous nor differentiable at x = 0.

h.      f is neither continuous nor differentiable at x = 4.

 

Answer:  f

 

 

 

4.

 

 

A graph of f(x) is shown.  Circle the graph of f ‘ (x) from six graphs shown.

 

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