1. Let f have the graph shown below.

f is	Select one continuous discontinuous undefined	at x = -2				f is	Select one continuous discontinuous undefined	at x = -1
f is	Select one continuous discontinuous undefined	at x = 0				f is	Select one continuous discontinuous undefined	at x = 1
f is	Select one continuous discontinuous undefined	at x = 2				f is	Select one continuous discontinuous undefined	at x = 3

2. Let f be specified by

f(x)   =

x      if x < -1 x x + 1      if -1 < x 1 x 2      if 1 < x 2 x      if x > 2

.

f is	Select one continuous discontinuous undefined	at x = -2				f is	Select one continuous discontinuous undefined	at x = -1
f is	Select one continuous discontinuous undefined	at x = 0				f is	Select one continuous discontinuous undefined	at x = 1
f is	Select one continuous discontinuous undefined	at x = 2				f is	Select one continuous discontinuous undefined	at x = 3

3. Find the values of h and k that make the following function g continuous.

g(x)   =

x2 + h      if x < -1 x + 4      if -1 < x 1 x x + k      if x > 1

.

h =

k =

4.Here are some multiple choice questions.

(a)	If f is continuous at the point x = a, then lim xa- f(x) is Select one always not always never equal to f(a).
(b)	If f is not continuous at the point x = a, then lim xa- f(x) Select one must may or may not cannot exist.
(c)	If f is not continuous at the point x = a, then f'(a) Select one must may or may not cannot exist.
(d)	If f is not differentiable at the point x = a, then f Select one must may or may not cannot be continuous at x = a.

5. Let f have the graph shown below.

f is	Select one differentiable discontinuous continuous but not differentiable undefined	at x = -2
f is	Select one differentiable discontinuous continuous but not differentiable undefined	at x = -1
f is	Select one differentiable discontinuous continuous but not differentiable undefined	at x = 0
f is	Select one differentiable discontinuous continuous but not differentiable undefined	at x = 1
f is	Select one differentiable discontinuous continuous but not differentiable undefined	at x = 2
f is	Select one differentiable discontinuous continuous but not differentiable undefined	at x = 3

6. Make the appropriate choices below.

f(x) = (x+1)1/3(x-2)4/3 is	Select one not differentiable differentiable undefined	at x = -1
f(x) = (x+1)1/3(x-2)4/3 is	Select one not differentiable differentiable undefined	at x = 2
f(x) = (x+1)2/3(x-2)-1 is	Select one not differentiable differentiable undefined	at x = -1
f(x) = (x+1)2/3(x-2)-1 is	Select one not differentiable differentiable undefined	at x = 2
f(x) = |x+1| |x-2|2 is	Select one not differentiable differentiable undefined	at x = -1
f(x) = |x+1| |x-2|2 is	Select one not differentiable differentiable undefined	at x = 2