One to One and Onto Functions
Solving Systems of Equations
Transformations
Square Root Prop. and Comp. the Square
Solving Quadratic Systems
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
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
When solving quadratic systems we normally end up with 2 instead of 1 what?
Solutions!
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
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
Solve:
y=x^2-5
y=x-3
(2,-1) and (-1, -4)
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
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
Solve:
y=-2x+2
y^2=2x
(2, -2) and (1/2, 1)
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
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
Solve:
y-x^2=7x+12
y=x+7
(-5, 2) and (-1, 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
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
Solve:
x-y+1=0
y^2-4x=0
(1,2)
500
What famous magazine have I been in?
Hint: Fashion
Vogue