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5.) How many different ways can you arrange the 6 letters a,b,c,d,e,f into ‘words’?
(for example: bacdef is a ‘word’)
cie.
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6.) Write out Pascal’s triangle to the row n=4 and use the Binomial theorem and Pascal’s Triangle
(4-L’)
4
to factor out (x+y)
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a) goh(x)
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x-2 solve for:
=
(x x
b) hog(x)
(-)
(x-)z
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2
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8.) Find the domain and range of the following graph:
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9.) Given the graph from problem 8 of g(x), graph h(x)
transformations
=
g(x+2) and j(x)
=
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g(x) using graph
b) j(x)
a) h(x)
(s,-i)
c
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10.) iff:IR—41R and f(x) = 3x-4 using the ideas of one-to-one and onto decide whether
or not f(x) has an inverse function
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find g’ (x). (Assuming the implied domain x —3)
11.)
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xy-X
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12.) What is the implied domain of the function f(x) 3/—2x+4?
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2x—4
X +OX+
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14.) Graph the linear polynomial function p(x)
y-axis
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18.) Find the vertical assymptotes, x-intercepts, and the leading order term of the rational function
(x+4)(x_3)(x2+1)
3(x-1)(x+2)
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19.) Using your solutions from problem 18, graph
r (x)
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y-axis
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(i.)
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3
3)(
x+4)(x—3)(x
+
2
1)
3(x—1)(x+2)
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23.) If g(x) is a peicewise defined function with g(x)=
2x
—x
if xe(—c, 2)
if xE(3,5]
—3
ifxE(5,cx)
then evaluate the following if able, and if not possible write undefined and state why
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24.) Graph g(x) from problem 23
y-axis
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25.) Solve the following system of equations for x and y.
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26.) Is x = 1, y = 2, z = 3 a solution to the system of three linear equations of three variables
x+y+z6
2x—y+3z9
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