Absolute Value Equations
|k − 10| = 3
k={7,13}
|x+2|>4
Be sure to state if it is OR or AND. You may have to graph on a number line to help.
x>2 OR x<-6
f(x)= |x+3|
Find the zeros
x=-3
Plot in your calculator and give the increasing and decreasing intervals for:
f(x)=x-4
Increasing: (-infinity, infinity)
Decreasing: None
Originally, Amazon only sold what kind of product?
Books
7|n|= 56
n={-8,8}
∣7x∣−3≥53
Be sure to state if it is OR or AND. You may have to graph on a number line to help.
x≤−8
or
x≥8
f(x)= 2|x+4|-8
find the zeros
x= 0, -8
What is Scotland's national animal?
Unicorn
Plot in your calculator and find the end behavior
f(x)=-|x+1|
As x--> infinity, f(x)--> -infinity
As x--> -infinity, f(x)--> -infinity
What number is the only number spelled with the same number of letters as its value?
Four
What is the rarest M&M color?
Brown
f(x)=0.5|2x-2|-6
x= 7, -5
Plot in your calculator and give the increasing and decreasing intervals for:
f(x)= |x-4|
Increasing: (4, infinity)
Decreasing: (-infinity, 4)
Plot in your calculator and find the end behavior
f(x)= x+1
As x--> infinity, f(x)-->infinity
As x--> -infinity, f(x)--> - infinity
-|5x+10|-3=9
No Solution
12∣x−5∣<36
Be sure to state if it is OR or AND. You may have to graph on a number line to help.
2<x<8
AND
f(x)=-|0.5x-2|-3
Find the zeros
No Solution
Plot in your calculator and give the increasing and decreasing intervals for:
f(x)= -|x+1|
Increasing: (-infinity, -1)
Decreasing: (-1, infinity)
Plot in your calculator and find the end behavior
f(x)=|2x+7|+1
As x--> infinity, f(x)-->infinity
As x--> -infinity, f(x)-->infinity
7|4n+8|-6=106
n={-6,2}
∣5x∣>15
Be sure to state if it is OR or AND. You may have to graph on a number line to help.
x<−3
OR
x>3
What was the first Pixar movie?
Toy Story
Plot in your calculator and give the increasing and decreasing intervals for:
f(x)= |0.5x+1|-4
Increasing: (-2, infinity)
Decreasing: (-infinity, -2)
Plot in your calculator and find the end behavior
f(x)=2|0.5x-2|+1
As x--> infinity, f(x)--> infinity
As x--> -infinity, f(x)--> infinity