Domain, Range, Number Of Solutions
Absolute Values Equations
Graphing Absolute Values
Absolute Value Inequalities
100
Write the domain and range of the following graph in inequality notation:
Domain: All Real Numbers
Range: y ≥ -4
100
Write the equation of an absolute value that is translated down 4 and left 2.
What is g(x) = |x+2| - 4
100
Describe the transformations from f(x) = |x| to g(x) = (1/2)|x+2| - 5.
g(x) is down 5, compressed vertically (VC), and to the left 2 from f(x)
100
Solve:
|x - 9| > 15
x < -6 or x > 24
200
Write the domain and range of the following graph in inequality notation.
Domain: All Real Numbers
Range: y ≤ 3
200
Find the vertex of the following absolute value equations:
y = -2|x+6| - 7
Vertex is (-6,-7)
200
Write the equations for the following absolute value:
g(x) = -2|x+3|
200
Solve:
|x+5| ≤ 16
-21 ≤ x ≤ 11
300
How many solutions does the following equation have:
3|2x-5| + 8 = 14
2 Solutions
300
Solve:
2abs(x-4)-3=9
What is x = -2 and x = 10
300
Write the function that represents the graph and write the range in inequality notation. (Slope is up 1 over 1)
g(x) = |x+3|-6 and the range in inequality notation is y ≥ -6
300
Solve:
3|x| + 2 < 11
What is -3<x<3
400
How many solutions does the following equation have:
6|2x-5| + 8 = 2
No Solutions ( absolute value equations can not be negative)
400
Solve:
3abs(2x+5)-8=4
x = -1/2, x = -9/2
400
Graph:
y = 3|x-1| +4
400
Solve:
-3|x-4|-2<-8
What is x>6 or x<2? (OR problem)
Don't forget to flip the inequality when you divide by a negative!
500
Solve:
1/2abs(2x)+10=6
What is No Solution?
500
Graph:
y=-1/2abs(x-4)+3
