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STATION #1
COMPLEX NUMBERS REVIEW
DIRECTIONS:
Simplify each product
of complex numbers. Be
sure to simplify
completely!!
DIRECTIONS:
Simplify each division of
complex numbers. Be sure to
simplify completely!!
Remember – you cannot have
a complex number in the
denominator.
DIRECTIONS:
Solve each quadratic
equation. Leave your
answer in simplified
radical/fractional form.
1)
5i (3  11i )
2)
(12  8i )(6  6i )
3)
(4  3i )( 4  3i )
4)
6)
5)
2i
3i
y  x2  4x  7
7) f(x)  x  6x  2
2
7  4i
2i
STATION #2
SIMPLIFYING RATIONAL EXPRESSIONS REVIEW
DIRECTIONS: Simplify each rational expression completely.
1)
m2  m  2
m2  11m  18
3)
2)
r2  14r  40
r  10
4)
x  3x  10 x  5x  6
 2
2
x  8x  15 x  4x  4
2
2
5)
x2  11x  24 x2  15x  50
 2
2
x  18x  80 x  9x  20
6)
x  25 x  6x  5
 2
2x  3 2x  x  3
2
2
2x3  12x2 8x3  24x2
 2
2
x  4x  12 x  9x  18
STATION #3
TRANSFORMATIONS, EQUATIONS & DOMAIN OF RATIONAL FUNCTIONS
DIRECTIONS
For each graph, identify:
1)
2)
3) f(x) = (x + 3)-1 - 2
4) f(x) = -(x - 1)-1 + 4
a)
The transformations
from the parent graph
b) The equation of the
function (HINT: these
do not contain a
vertical
stretch/shrink)
c) The domain of each
function, in interval
notation.
DIRECTIONS
For each function:
a)
Identify the
transformations from
the parent graph
b) Graph the function
c) Identify the domain of
each function, in
interval notation.
STATION #4
DOMAIN REVIEW
DIRECTIONS: Find the domain of each function. Write your answers in interval notation.
1)
 2x
g(x)  2
3x  26x  9
3)
2)
f(x) 
x5
2x2  72
4)
4x  8
x7
g(x) 
5)
f(x) 
5x  10
x  8x  65
2
x3
f(x)  2
x  11x  24
6)
4x  12
g(x)  2
x  9x  18
STATION #2
STATION #1
STATIONS ANSWER KEY
1)
 55  15i
4)
1 3
 i
5 5
m 1
m9
1)
2)
5)
2)
24  120i
2  3i
r4
3)
6)
x 2
x 2
3)
x  2  i 3
4)
x 3
x4
25
7)
5)
x  3 7
x 5
STATION #3
1a) Shift right 2, shift up 2
b)
f ( x)  x  2  2
1
c) (-, 2)  (2, )
2a) Shift up 3
b)
f ( x)  x 1  3
STATION #4
c) (-, 0)  (0, )
3a) Shift left 3,
shift down 2
4a) Shift right 1,
shift up 4,
reflected across
the x-axis
b) See right.
b) See right.
c) (-, -3)  (-3, )
c) (-, 1)  (1, )
1)   ,  1     1 ,9   (9, ) 2)

 

 ,6  6,  
3)
[2, )
4)  ,8   8,3  (3, ) 5)
 ,13  5,  
6)
[3, )

3 
 3

6)
x6
4(x  2)