One to One and Onto Functions
Solving Systems of Equations
Solving Abs. Value Equations
Transformations
Square Root Prop. and Comp. the Square
Mr. Rolf Trivia
100
TRUE OR FALSE: A one-to-one function is a function where each element in the range is paired with exactly one element in the domain.
True
100
What are the two methods we use to solve systems of equations?
What is substitution and elimination?
100
What is the first step in solving this absolute value equation?
5|2x+3|=5
Divide by 5 on both sides to isolate the absolute value
100
From the general form:
f(x) = a(x-h)^2+k
How do the h and k values transform the graph?
h is the horizontal shift and k is the vertical shift
100
What is the first step here if I want to solve using the Square Root Property?
x^2-8x+16=10
Factor the perfect square trinomial on the left side of my equation!
100
What is my favorite kind of music?
Jazz
200
TRUE OR FALSE: An onto function is a function where the domain and range are equal.
False
An onto function is a function where its CODOMAIN and range are equal.
200
Solve
2 x − y = 9
x + 3 y = − 6
(3, -3)
200
Once you have isolated the absolute value in your equation, what do you have to do next?
I.e what is the next step from here?
|2x+3|=1
Split into two cases:
2x+3 = 1
and
2x+3 = -1
200
From the general form:
f(x) = a(x-h)^2+k
What 3 transformations can the (a) value do?
If a is negative it reflects, if it's greater than 1 is stretches, and if its in between 0 and 1 it compresses.
200
What is the first step here if I want to solve by Completing the Square?
x^2-8x-65=0
Add the 65 to the right side.
200
If i wasn't teaching what would I be doing for a living?
2 Options:
1. Ceramic Artist/Professor
300
What was the test used to determine if a function is one to one?
The Horizontal Line Test
300
Solve
x-3y=-12
2x+y=11
(3,5)
300
I solve an absolute value equation and check to make sure my solutions are true when plugged back into the original equation. I find that one of my solutions does NOT make it true. What do I call this solution?
Extraneous!
300
Describe the Transformations:
f(x) = -3(x-2)^2
Reflected, stretched, shifted right 2 units
300
What is the new C value in this step of completing the square?
x^2-8x=65
C = 16
300
What state was I born in?
Alaska
400
Is the following function one-to-one, onto, both, or neither? 
Both
400
Solve
2x+y+z=7
2x-y+2z=6
x-2y+z=0
(1,2,3)
400
Solve:
|x-2|+6=10
x = 6, -2
400
Describe the Transformations:
f(x) = 1/2x^2-2
Compressed, shifted down 2 units
400
Solve by using the square root property
x^2+16x+64 = 4
x= -10, -6
400
How long have I been married?
6 months (since July)
500
Is the following function one-to-one, onto, both, or Neither? 
Onto
500
Solve
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
(-4,0,-2)
500
Solve
-3|2+2x|=-12
x = -3, 1
500
Describe the transformations:
f(x) = -1/6(x+4)^2+2
Reflected, Compressed, Shifted left 4 units, Shifted up 2 units
500
Solve by Completing The Square
x^2-8x-65=0
x = 13,-5
500
What famous magazine have I been in?
Hint: Fashion
Vogue