Given g(x) = |x| + 3,
the ordered pair (0, 3) refers to this.
What is the vertex?
100
Solve:
2|x+4|=4
What is x=-2 and x=-6
100
Solve:
2+|x+1|<4
What is -3<x<1
100
Write an absolute value function for this real-world situation:
Jane ordered 5-foot poles from Poles-R-Us (PRU) for her tent. PRU states that their poles can have a 6 inch variance and still be used for the same tent.
What is |x-5| < .5
100
An absolute value function with a negative number in FRONT of the absolute value expression will open in this direction.
For example f(x) = -|x| + 7
What is downward?
200
Look at the graph and describe the transformation from the absolute value PARENT function
What is left two units and down one unit?
200
13 = |x| + 5
What is x = 8 and x = -8
200
Look at the given number line. Describe the solutions.
What is x < 3 OR x > 5
200
Find the solution to the previous problem (the acceptable range).
Here it is AGAIN:
Jane ordered 5-foot poles from Poles-R-Us (PRU) for her tent. PRU states that their poles can have a 6 inch variance and still be used for the same tent.
What is 4.5 < x < 5.5
200
The name of the lowest point on the graph of the absolute value parent function.
What is the vertex?
300
Look at the same graph and give the ordered pair of the vertex
What is (-2, -1)
300
Solve:
|x+6|=9
What is x=3 and x=-15
300
Draw the graph of the absolute value function AND the horizontal line of the comparison number to see where the two graphs intersect.
(for example, |x|-2 > 4, the comparison number is 4)
What is solving graphically?
300
Write an absolute value function for this real-world situation:
The temperature in this classroom varies daily. We would like it to be 70 degrees, but it can vary by as much as 10 degrees.
What is |x-70| < 10
300
The domain of an absolute value function if NOT restricted by a real world situation.
What is all real numbers?
400
Here's a different graph. The ordered pair (-1, 0) has a name and also is defined as two letters other than x & y. (Give the name and the two letters)
What is vertex and h & k?
400
Solve:
|15+x|-5=-5
What is x=-15
400
Solve |x| - 4 > 8
What is x < -12 OR x > 12
400
Find the solution to the previous problem (the acceptable range).
Here it is AGAIN:
The temperature in this classroom varies daily. We would like it to be 70 degrees, but it can vary by as much as 10 degrees.
What is 60 < x < 80
400
All of the possible "y" values in an absolute value function.
What is the range?
500
The transformation function for that same graph is
What is h(x) = |x+1|
500
Solve:
5|x-3|=10
What is x=5 and x=1
500
A "less than" absolute value function will have a graph of the solutions that looks like this
What is solutions that are BETWEEN two points?
500
To find the acceptable range of a real-world situation.
What is a practical use of the absolute value function?
500
No solutions
What is the answer when the absolute value function equals a negative number?