Show all work on separate paper. Turn in
ALL worksheets. Give all irrational answers in exact (radical) form.
When you use the calculator, say so, and explain what you did.
1. Graph
. From this graph, sketch
a)
+ 2; b)
;
c)
; d)
.
2. Test for symmetry (x
axis, y axis, and origin) and give the x and
y intercepts:
.
3. Find the equation of the
line joining the points of intersection of
and
4. Find the domain and range
for
.
[Hint: Use a graphing
calculator to find the range!]
5. Find the domain and range
for
.
6. If
, find f (g(x)) and g(f(x)).
7. Graph:
8. Given:
a)
b)
c)

d) Is this graph continuous?
Explain your answer.
9. Given:
a)
b)
c)

d) Is this graph continuous?
Explain your answer.
10. Find
. 11. Find
.
12. Find
. 13. Find
.
14. Find
.
15. Given:
a)
b)
c)
d) Sketch the graph.
16. For
, find a)
; b)
.
17. For what value(s) of c
will the function
be continuous?
18. Give all values for
which the function is discontinuous. Distinguish whether points of discontinuity are
removable or non-removable discontinuities.

19. Use the function
to explain the difference
between removable and
non-removable discontinuities. Find all vertical asymptotes.
Sketch the graph.
20. If
, a=2, and є = .02, find L, and
find δ such that |f(x) – L| <
є for every x where 0 < |x
– a| <
δ.
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NOTE: Page 2 of this solutions sheet is temporarily misplaced (as
of March 24, 2008)! I'll try to have it soon. Send me an
Email if March goes by and I forget to post this page!
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