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Exam Overview• Part 1
– 14 Multiple Choice Questions– 14 Points
• Part 2– 11 Topics– 80 Points
• Part 3– 7 Graphs– 21 Points
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(I) Factoring (6 points)
1226 23 xxx77
5
56
22
4
25 2
2
2
2
3
x
xx
xx
x
x
xx
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(II) Solving Quadratic Functions (12 points)
1)1(5)3(3 xx 0352 2 xx
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Factor by completing the square…
1482 xx
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Factor Using the Quadratic Formula…
246 xx
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(III) Solving Equations (8 points)
035 x 18362 xxx
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Solve…
0315 23 xx
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(IV) Functions (12 points)
Find…f(-2)
253 2 xxxf
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3
3
x
xxf
Find…f(-5)
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Find f(-3)…
0,2
0,3)(
2
2
xx
xxxf
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V) Combination and Composite Functions (6 points)
Find (f - g)(x) if…
4)(;52)( xxgxxf
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Find f◦g if…
1)(;1
3)(
2
xxgx
xf
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(VI) Inverse Functions (4 points)
Find the inverse of the following function…
4
3)(
xxf
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(VII)Polynomials (6 Points)
• Find the vertex and tell min or max
1123 2 xx
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• Use synthetic division to find the zeros
132 23 xxx
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(VIII) Exponential & Logarithmic Functions (6 Points)
1079 xe 275log x
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The formula models the population of California, A, in millions, t years after 2005. What will the population of Cali be in 2025? When will the population reach 40 million?
teA 0126.1.36
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Convert to radian/degree measure
240°
(IX) Radian and Degree Measure (12 points)
14
3
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Given sinθ=5/13…
find cot θ
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List a positive & negative co-terminal angle…
3
5
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PART THREE GRAPHS (21 Points)
3x
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13 2 x
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234 x
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2)ln( x