Pre Calculus Review Sheet Page 2
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1
22. Evaluate the given limit statements.
x
5
x
5
x
5
3
3
a.
b.
c.
lim
lim
lim
d.
5
x
1
e.
5
x
1
lim
lim
x
4
x
4
x
4
3
3
x
4
x
4
x
4
2
x
2
2
x
2
x
x
x
x
2 3 10
2 3 10
2 3 10
2
2
x
x
x
x
x
x
f.
g.
h.
i.
j.
lim
lim
lim
lim
lim
2
2
x
2
x
2
x
2
x
x
x
x
x
2
x
x
2
2
x
9
3
x
3
x
6
3. Given
f x
( )
, find the following:
4. Given
f x
( )
, find the following:
2
2
x
2
x
3
x
x
6
Domain ______________________________________
Domain ______________________________________
Range _______________________________________
Range _______________________________________
Vertical Asymptote(s) ___________________________
Vertical Asymptote(s) ___________________________
Coordinates of hole(s) ___________________________
Coordinates of hole(s) ___________________________
Horizontal Asymptote(s) _________________________
Horizontal Asymptote(s) _________________________
Sketch f(x) including asymptotes & holes:
Sketch f(x) including asymptotes & holes:
5. Use an angle identity formula to find exact values for each of the following:
a. cos105
b. sin ( 15 )
6. Find the inverse function.
f (x) 6 log
(x) 8
f (x) 3 8x
f (x) 3(4)
5
d.
f (x) 5 3 x 1
3
x
a.
c.
b.
7
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