Graphing Absolute
Value Functions
Value Functions
Solving Absolute Value Equations
Solving Absolute Value Inequalities
Absolute Value Transformations
Mr. O Fun Fact
Word problems
100
Identify the vertex and slope of the following function and graph it.
y= |x-3|+4
Vertex : (3,4). Slope: 1
100
Solve the absolute value equation ALGEBRAICALLY
-5|x-10|-15=0
No Solution
100
Solve the absolute value inequality as an inequality.
|x-2|+3<7
-2 < x< 6
100
Identify all the transformations for the absolute value function.
y = |x| - 4
Translates down 4 units
100
How old will I be turning this October 9?
32
100
John is looking for a job after graduation. The salary which he is satisfied with must be $2500 with a tolerance of $375. Write an inequality that can be used to assess if his salary is tolerable.
|x-2500|<_375
200
Identify the vertex and slope of the following function and graph it.
y=-|x-4|+1
Vertex: (4,1). Slope: -1
200
Solve the absolute value equation by GRAPHING
|x+1|-4=1
x=-6 and x=4
200
Solve the absolute value inequality as an inequality.
|x+4|-22 > -18
x > 0 or x < -8
200
Identify all the transformations for the absolute value function.
y = |x + 2| + 10
1. Translates left 2 units
2. Translates up 10 units
200
What is my middle name?
Alejandro
200
A business meeting will be held at 2:00pm and the doors will be open from 1:45pm to 2:15pm. Write an inequality to assess if an employee will be allowed to enter given that t is the time in hours after 12pm when he or she arrives.
|x-2|<_.25
300
Identify the vertex and slope of the following function and graph it.
y=2|x+5|-3
Vertex: (-5,-3). Slope: 2
300
Solve the absolute value equation by GRAPHING
-3|x+3|+3=-3
x = -5 and x = -1
300
Solve the absolute value inequality by GRAPHING on numberline
2|x+3|-3>=5
x <=-7 or x>=1
300
Identify all the transformations for the absolute value function.
y= - 1/2| x - 5| + 8
1. Reflects over x-axis
2. Vertical Compression by a factor of 1/2
3. Translates right 5 units
4. Translates up 8 units
300
What day of the week is there NO tutoring in the morning?
Tuesday
300
The street built in the city must be 27 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Write an inequality to assess which streets are within tolerance.
|x-27|<_.5
400
Identify the vertex and slope of the following function and graph it.
y= 3|x+2|-5
Vertex: (-2,-5) Slope: 3
400
Solve the absolute value equation ALGEBRAICALLY
2|x-12|+5 = 15
x = 17 and x = 7
400
Solve the absolute value inequality ALGEBRAICALLY
5|7x-7|+8<=43
0<= x <= 2
400
Identify all the transformations for the absolute value function.
y = 3 | (x + 3)| - 2
1. Vertical stretch by a factor of 3
2. Reflects over y-axis
3. Translates left 3 units
4. Translates down 2 units
400
What is my favorite soccer team?
Real Madrid
400
The largest egg of any bird is that of an ostrich. An ostrich egg can reach 8 inches in length. The smallest egg is that of a hummingbird. Its eggs are approximately .4 inches in length. Write an inequality that represents the range of lengths of bird eggs.
.4<_x<_8
500
Identify the vertex and slope of the following function and graph it.
y=-2|x-2|+4
Vertex: (2,4). Slope: -2
500
Solve the absolute value equation ALGEBRAICALLY
4-5|10-5x|=-51
x=-1/5 and x= 21/5
500
Solve the absolute value inequality ALGEBRAICALLY
-3|1+2x|+2> -43
-8<x<7
500
Identify all the transformations for the absolute value function.
y= -5|1/2(x+6)|-11
1. Reflects over x-axis
2. Vertical Stretch by a factor of 5
3. Horizontal Stretch by a factor of 2
4. Translates left 6 units
5. Translates down 11 units
500
What type of dog/s do I have?
Golden Retriever or Miniature Schnauzer
500
On Pennsylvania's interstate highway, the speed limit is 55 mph. The minimum speed limit is 45 mph. Write a compound inequality to represent the allowable speeds.
What is 45<_x<_55