ALGEBRA 2 Final Exam Review

Graph Attributes

100

What is the domain for the graph of y = x²?

all real numbers 

200

If two graphs are inverses, they are symmetric around what line?

y=x

300

What is the end behavior of y=x⁴+x³+x²+x+2?

Up on both the left and the right....both sides go to positive infinity.

400

What is the end behavior of y=-x⁵-3x²-2x+6

Up on the left, Down on the right....

As x approaches negative infinity, y approaches positive infinity and x approaches positive infinity, y approaches negative infinity.

500

y=(x-2)/((x-3)(x+4))

Name all the asymptotes for the following function

x=3, x=-4, and y=0

Polynomials

100

Solve the following:

x² - 1=0

x = 1,-1

200

Factor Completely, try a box: 7x³+42x²-8x-48

(7x²-8)(x+6)

300

Simplify:

(x³-6x²+2x+31) + (x² - 3x + 2)

x³ -5x² -x +33

400

Simplify:

(x³-6x²+2x+31) - (x² - 3x + 2)

x³ - 7x² +5x + 29

500

What are the zeros of y = 2x³ - 8x?

0, 2, -2

Radical Expressions

100

Simplify:

sqrt(8y^5 x) sqrt (40y^2)

8y^3sqrt(5xy)

200

Simplify 

sqrt(28a^2 b)

2asqrt7b

300

Multiply and simplify:

(sqrt32 -3)(2+sqrt8)

What is 

10+2sqrt2

400

Solve the following:

sqrt(29-2x) =sqrt(19 - x)

X = 10

500

Solve: 

8 = (16x)^(3/4)

x = 1

Statistics

100

What's the difference between permutation and combination?

P- order important, C- order not important

200

What's the difference between arithmetic and geometric sequences?

arithmetic- adding pattern

geometric- multiplying pattern

300

Find the 12th term if a1=7 and d = 4. 

a12= 51

400

Find the sum of the first 8 terms if a1= 3 and a8= 22. 

S8=100

500

Find the infinite series...

200 + 100 + 50 + 25...

400

Rationals

100

What is the equation of the horizontal asymptote of the rational parent function?

y = 0

200

What is 64^(2/3)

16

300

Suppose z varies jointly with x and y and z = -36 when x = -3 and y = -4. What is the constant of variation?

 k = -3

400

What are the asymptotes?

y=-3/(x+2)

x = -2, y = 0

500

Simplify:

(x^2-6x)/(x^2-11x+30)

=x/(x-5)