1. Algebra 2/Discrete 1 st Semester Exam Review #2

2. Question 1 What is the domain and range of the function Domain is all real numbers Range is y > - 2

3. Question 2 What is the domain and range of the function Domain is x > 4 Range is y > 0

4. Question 3 What is the domain and range of the function Domain is all real numbers Range is y > 0

5. Question 4 What is the domain and range of the function Domain is all real numbers Range is y > 0

6. Question 5 What is the slope and y-intercept of this function? 3x + 2y = 6 y = - 3/2x + 3 m= - 3/2b=3

7. Question 6 What is the equation of a line parallel to the function 3y – 2x = 12 that has a y-intercept of – 8 ? y = 2/3x - 8

8. Question 7* One line passes through the points (3, 8) and (5, 12) while a second line passes through (4, 5) and (6, 4). Are they parallel, perpendicular, or neither? perpendicular

9. Question 8* What is the difference between trend lines, median-median lines, and regression lines? See pages ______ in text.

10. Question 9 How do we find the midpoint between two points? The distance?

11. Question 10 What is an example of a rational number? An irrational number? See pages ______ in text.

12. Rational and Irrational Numbers

13. Question 11 Simplify:

14. Question 12 Simplify:

15. Question 13 Simplify:

16. Question 14* What are some of the different sets of numbers and how do they relate to each other. See pages ______ in text.

17. Question 15 Solve this equation: 2x 2 = 128 x 2 = 64 x = +8 or –8

18. Question 16 Simplify: 3i(2 + 3i) - 9 + 6i

19. Question 17 What is the absolute value of 3 + 2i? What is it’s complex conjugate? The additive inverse? square root of 13 3 – 2i - 3 – 2i

20. Question 18a How many roots does the following function have? none – discriminant is negative

21. Question 18b How many roots does the following function have? two – discriminant is positive

22. Question 18c How many roots does the following function have? one – discriminant is 0

23. Question 19 What is x 3/4 using rational exponents?

24. Question 20 What are the different election methods that can be used with more than two candidates? Review Chapter in Discrete Math book

25. Question 21 If I buy a computer for $2500 and it depreciates at a rate of 20% per year, what is it’s value in 3 years? f(x)= 2500(1 - 0.2) x f(3)= 1280

26. Question 22 If a painting is bought for $15,000 and has a rate of appreciation of 1.2%, what is it worth in 12 years? f(x)= 15000(1 + 0.012) x f(12)= $17,308.42