Algebra 2/Discrete 1 st Semester Exam Review #2

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

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

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

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

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

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

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

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

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

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

Rational and Irrational Numbers

Question 11 Simplify:

Question 12 Simplify:

Question 13 Simplify:

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

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

Question 16 Simplify: 3i(2 + 3i) i

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

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

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

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

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

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

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( ) x f(3)= 1280

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( ) x f(12)= $17,308.42