Algebra 2/Discrete

1st Semester Exam Review #2

Question 1

What is the domain and range of the function

2( ) 2( 4) 2f x x Domain is all real numbers

Range is y > - 2

Question 2

What is the domain and range of the function

( ) 4f x x Domain is x > 4

Range is y > 0

Question 3

What is the domain and range of the function

( ) 3*0.289xf x Domain is all real numbers

Range is y > 0

Question 4

What is the domain and range of the function

( ) 3(4)xf x 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= - 3/2 b=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

1 2 1 2. ,2 2

x x y yMid

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

2 22 1 2 1( ) ( )Dist x x y y

Question 10

What is an example of a rational number? An irrational number?

See pages ______ in text.

Rational and Irrational Numbers

Question 11

75Simplify:

25*3 5 3

Question 12

4 5 2 3 45 Simplify:

4 5 3 5 2 3

5 2 3

Question 13

75 *2 18x x

25 * 3 * *2* 9 * 2 *x x

Simplify:

30 6x

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:22 4 132x

2x2 = 128

x2 = 64

x = +8 or –8

Question 16

Simplify:

3i(2 + 3i)

- 9 + 6i

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?

2( ) 3 2 3f x x x none – discriminant is

negative

Question 18b

How many roots does the following function have?

2( ) 3 2 3f x x x two – discriminant is positive

Question 18c

How many roots does the following function have?

2( ) 3 6 3f x x x one – discriminant is 0

Question 19

What is x3/4 using rational exponents?

3 34 4( )x or x

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(1 - 0.2)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(1 + 0.012)x

f(12)= $17,308.42