Exam Overview• Part 1

– 14 Multiple Choice Questions– 14 Points

• Part 2– 11 Topics– 80 Points

• Part 3– 7 Graphs– 21 Points

(I) Factoring (6 points)

1226 23 xxx77

5

56

22

4

25 2

2

2

2

3

x

xx

xx

x

x

xx

(II) Solving Quadratic Functions (12 points)

1)1(5)3(3 xx 0352 2 xx

Factor by completing the square…

1482 xx

Factor Using the Quadratic Formula…

246 xx

(III) Solving Equations (8 points)

035 x 18362 xxx

Solve…

0315 23 xx

(IV) Functions (12 points)

Find…f(-2)

253 2 xxxf

3

3

x

xxf

Find…f(-5)

Find f(-3)…

0,2

0,3)(

2

2

xx

xxxf

V) Combination and Composite Functions (6 points)

Find (f - g)(x) if…

4)(;52)( xxgxxf

Find f◦g if…

1)(;1

3)(

2

xxgx

xf

(VI) Inverse Functions (4 points)

Find the inverse of the following function…

4

3)(

xxf

(VII)Polynomials (6 Points)

• Find the vertex and tell min or max

1123 2 xx

• Use synthetic division to find the zeros

132 23 xxx

(VIII) Exponential & Logarithmic Functions (6 Points)

1079 xe 275log x

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

Convert to radian/degree measure

240°

(IX) Radian and Degree Measure (12 points)

14

3

Given sinθ=5/13…

find cot θ

List a positive & negative co-terminal angle…

3

5

PART THREE GRAPHS (21 Points)

3x

13 2 x

234 x

2)ln( x