Domain & Range
Piecewise Functions
Absolute Value Functions
Graphs
Mystery
100
What is the domain and range of :
f(x) = | x + 1 | - 3
D: (-inf , inf)
R: (-3, inf)
100
Given this piecewise function, which equation would I use if I wanted to find f(1)
(top, middle, or bottom)
Bottom
100
True or false: The following equation would move the parent function 4 units left
f(x) = |x-4|
False!!!!!!
100
Is this graph continuous?
HECK NAH!!!!
100
Solve if a=2 and b=-1.
2(a+6)+b
15
200
What is the domain and range of:
. f(x) = -½ | x – 6 | + 3
D: All real values of x
R: (-inf,3]
200
Use the above piecewise function to find f(6)
4
200
How does the -3 make the graph move?
2|x-3| = 6
right 3
200
Is this graph a function? Must explain why or why not!!!
NO! Does not pass the vertical line test.
200
What would the output be if we plugged in -1 for x?
2|x-1| + 6
10
300
State the domain and range of the following graph: *MUST USE APPROPRIATE SYMBOLS* 
D: (-3,1]
R: [-4,0]
300
Given this piecewise function, find f(1) + f(2) - f(4)
1
300
State all of the transformations that are made to the parent function, |x| to achieve the graph of
-2|x+1| - 3
vertical stretch by 2
* reflected over x-axis
* moved 1 unit left
* moved 3 units down
300
State the range of the function:
y ≥ -2
300
Using the given piecewise function,
find 1/2f(-3) + f(0) - f(4)
4
400
piecewise function:
*USE APPROPRIATE SYMBOLS*
D: [-5,1] and (2,5]
R: [-2,4]
400
Given the piecewise function above, find f(-1)
3
400
State all of the transformations that are made to the parent function, |x| to achieve the graph of
3|x-6| + 4
vertical stretch by 3
* moved 6 units right
* moved 4 units up
400
What are the solutions of this absolute value graph and y = 0?
x = -1, x = 3
400
What is the average rate of change of f(x) over interval [2,4]
5
500
State the domain and range of the following graph:
*MUST USE APPROPRIATE SYMBOLS*
D: [-4,-2) and [0,4)
R: [-2, inf)
500
What is f(-3)?
-3
500
State the equation for the following graph:
f(x) = - |x + 3| + 4
500
Evaluate f(5)
4
500
What is the average rate of change of f(x) over interval [4,9]?
1/5