domain, range, end behavior
transformations
of graphs
solving
equations
factoring / dividing
miscellaneous
100

What are the domain and range of the line shown? 

domain: (-3, 5)
range: (2, 4)

100

Write the 4 letters in order that match equations 1, 2, 3, & 4

C, A, D, B

100

Describe the number and type of solutions of the equation:
x2 - 8x + 16

One real, repeated solution

100

Factor 5x2 + 29x + 20

Hint: (5x +   )(x +   )

(5x + 4)(x + 5)

100

expand
(3x - 8)2

9x2  - 48x + 64

200

What are the domain and range of the function? 

domain: - infinity < x < infinity

range: - infinity < y < 2

200

The parent function, |x|, has been transformed to make the function below. What is the equation of the new function? 

|x| - 4

200

Describe the number and type of solutions of the equation:
2x2 - 12x + 20

2 imaginary (aka complex) solutions  

200

factor x+ 125

(x + 5) (x2 - 5x + 25)

200

Multiply
(4 + 2i)(-3 + 6i)

-24 + 18i 

300

What is the end behavior of the graph? 

as x approaches - infinity, y approaches - infinity

as x approaches infinity, y approaches - infinity

300

What is the equation of the graph in vertex form? 

y = (x - 2)2 - 1

300

Solve 3x2 - 5x + 2
Simplify your answers completely

x = 1, x = 2/3

300

What is the remainder when 3x4 + 4x2 - 2x + 6 is divided by x + 1?

15

300

Multiply
(2x2 - 5)(x3 + 3x2 - 7)

2x+ 6x4 - 5x3 - 29x2 + 35

400

What are the domain and range of the function? 

domain: - infinity < x < infinity

range: -4 < y < infinity

400

What is the equation of the function shown below?

y = |x + 5|

400

(x - 2) is one factor of x3 - 2x2 + 16x - 32

List all 3 solutions 

{ 2, 4i, -4i}

400

x = -4 is a solution of x4 + 4x3 - 2x2 - 8x

List all solutions

0,
-4, 

sqrt(2)

-sqrt(2)

400

What is the equation of the graph? 

(x + 4)(x + 1)(x - 2)2

500

What is the equation of the graph? The parent function is y = x3

y = (x + 4)+ 2

500

Solve the equation:
x2 - 4x - 10

2 +/   sqrt(14)