Transformations
Functions
mins/maxs
Function Operations
Odd/Even/Neither
2
Describe the transformations that are occurring.
y=1/2|x+2|-3
vertical compression by a factor of 1/2
2 units left
3 units down
2
According to the graph above, what is f(3)
3
2
list the local minimum(s) and maximum(s)
list the absolute minimum and maximum
local min: (1,3)
local max: (-1, 3)
abs min: none
abs max: none
2
f(x) = x2 - 3
g(x) = 2x - 1
solve f(x) + g(x)
x2 + 2x - 4
2
Odd, even or neither?
odd
2
Describe the transformations that are occurring.
y=5(x-8)^2+2
vertical stretch by a factor of 5
8 units right
2 units up
2
Determine which relation is a function:
Option A:
Option B:
B
2
list the absolute minimum and maximum:
max: 0 when x = 0
min: -4 when x = -2 and 1
2
f(x) = x2 - 3
g(x) = 2x - 1
Solve f(x) - g(x)
x2-2x-2
2
determine whether the function is odd, even, or neither. 
even
3
Given the following transformations, please create the function.
Reflected across the x-axis
vertical compression by a factor of 1/3
4 units right
3 units up
y=-1/3(x-4)^3+3
3
Use the above piecewise function to find f(1)
2
3
list the local minimum(s) and maximum(s)
min: (0,-2) and (5,-2) and (1,3)
max: (0,4)
3
Let f(x)=-3x2 -x and g(x)=-2x -4. Then (f * g)(-1)
4
3
Is the function f(x)=x2-3 even, odd, or neither?
even
3
Write the equation:
Write the appropriate function
y=-(x+4)3+2
3
determine if y is a function of x. show algebraically.
y^2 = -2x+6
no
3
Name the absolute min and absolute max of the funciton: 
min (-1,-5)
max (4,2)
3
Let f(x)=2x2+x-3 and g(x)=x-1. Then (f-g)(5) equals what?
48
3
Is the function f(x)=x2+2x-3 even, odd, or neither?
neither
4
Given the following transformations, create the function and graph:
Reflected across the x-axis
horizontal compression
vertical shift 5 units up
y=-sqrt(x-3)+10
4
determine if y is a function of x. show graphically.
y=1/2(x+3)^2 -4
4
graph the function and determine the local min, local max, absolute min, and absolute max.
f(x)=\sqrt(2x-4)+3
abs/local min: (2,3)
abs/local max: none
4
Evaluate g(x)=x2 - x if g(x+1)
x2 + x
4
graph the function and determine if it is odd, even, or neither
y=-2|x|+7
even
