Show:
Absolute Value
Inequalities
Description of Funky Functions
From words to Functions
Fun With Functions
Absolute Value Equations
100
Solve and graph the absolute value Inequality: |3x|≥9
x≥3 or x≤-3
100
Describe in words what Transformations are occurring in the following function: f(x)= |x-4|-1
Right 4 units Down 1 unit
100
Write a function for the given transformation: Right 3 units
f(x)= |x-3| or y=|x-3|
100
If f(x)= |x-4|, what is f(-2)?
f(-2)= 6
100
Solve the absolute value equation: |x+3|=6
x=3 and x=-9
200
Solve and graph the absolute value Inequality: |2x-3|< -5
No solution
200
Describe in words what Transformations are occurring in the following function: f(x)= -|x|-3
Reflect across x-axis Down 3
200
Write a function for the given transformation: Left 4 Up 6
f(x)=|x+4|+6
200
If f(x)= 2|x+4|+1, what is f(3)?
f(3)=15
200
Solve the following absolute value equation: -3|2x-4|=9
No solution
300
Solve and graph the absolute value inequality: |2x-1|> -1
All real numbers
300
Describe in words what Transformations are occurring in the following function: f(x)= 2|x+3|
Left 3 Vertical Stretch by a factor of 2
300
Write a function for the given transformation: Vertical stretch by a factor of 3 Down 2 units
f(x)= 3|x|-2
300
Let f(x)=|x+3|, and g(x) be the transformation of f(x) 3 units right and 4 units down. What is g(x)?
g(x)=|x+6|-4
300
Solve the absolute value equation -2|x+3|= -10
x= -8 and x= 2
400
Solve and graph the absolute value inequality: 2|x-4|+4 > 12
x>8 or x<0
400
Describe in words what Transformations are occurring in the following function: f(x)= -0.5|x-3|-3
Right 3 Down 3 Reflect over x-axis Vertical compression by a factor of 0.5
400
Write a function for the given transformation: Right 2 Up 3 Reflect across x-axis Vertical Compression by a factor of 1/2
f(x)= -1/2|x-2|+3
400
Let f(x)= 2|x|-3 and g(x) be the transformation of f(x): reflected over the x-axis, left 1 unit, and up 3 units. What is g(x)?
g(x)= -2|x+1|
400
Solve the absolute value equation: |2x-5|= x+11
x=16 and x= -2
500
Solve and graph the following absolute value Inequality: There will be fractions! 2|4x+6|-10 ≤ -4
x≤ -3/4 or x ≥ -9/4
500
Describe in words what Transformations are occurring in the following function: f(x)= |3x+3| -4
Left 1 Down 4 Horizontal compression by a factor of 3
500
Write a function for the given transformation: Left 3 units Up 1 unit Horizontal Compression by a factor of 3 Reflect across y-axis
f(x)= |-3(x-3)|+1
500
Let f(x)= 0.5|x+5|+3 and g(x) be the transformation of f(x): right 5 units, down 3 units, and a vertical stretch by a factor of 2. What is g(x)?
g(x)=|x|
500
Solve the absolute value equation: 3|x+2| –5= 7
x=2 or x= -6