Relations and Functions
How do you determine if a graph represents a function?
Vertical Line Test
How do you represent a domain or range that goes from negative infinity to positive infinity?
All Real Numbers (or "Fancy R")
What is the parent function of a linear function?
What does absolute value measure?
The distance from zero
What does K.I.S.S. stand for?
Keep It, Switch, Switch
There are no repeating x's
Which circle do you use for < and >?
Open Circle
What is the parent function of an absolute value?
f(x) = |x|
What are extraneous solutions?
Solutions that do not work in the original equation
If |x|≥7, what are the possible inequalities?
x≥7 or x≤-7
What is the domain for this function?
{(-1,-9),(0,-5),(4,3),(6,-2)}
{-1,0,4,6}
What is g(-1) when g(x)=-x-1?
g(-1)=0
What is the transformation for the following function: f(x)=|x+2|-5?
Shift left 2 and down 5
If |x|=9, what are the possible values of x?
9 and -9
What grouping symbol do you use for ≤ and ≥?
Brackets []
What is the range for this function?
y=-7
y=-7
What is a(8) when a(x)=-4x+7?
a(8)=-25
What is the transformation for the following function: f(x)=-2|x-1|?
Reflect across the x-axis, vertical stretch by 2, and shift right by 1
What are the solutions for the following absolute value equation?
|3x-9|=x+1
x={2,5}
What is the interval notation for the following absolute value inequality?
9|3-k|-5≥67
(-∞,-5]U[11,∞)
What is f(-9) when f(x)=-5x-14?
f(-9)=31
What is the way to start writing domain and/or range if it is NOT all real numbers?
x is such that...
or
y is such that...
How do you write the absolute value function for a transformation that is reflected in the x-axis, then translated 2 units up?
f(x)=-|x|+2
What are the solutions for the following absolute value equation?
53=5|p-4|+8
p={-5,13}
What is the interval notation for the following absolute value inequality?
2-9|p+7|>-16
(-9,-5)