Functions
Function Notation
Domain and Range
Translations
MISC.
100
t is denoted as f(x) = |x| and a V-shaped Function.
Absolute Value Function
100
if f(x)=x2-5, find f(-5)
f(-5)=20
100
Identify the domain
[-2,2]
100
A translation is when you do this to a figure.
Shift or move a figure up, down, left, or right
100
multiply
x3+2x2-x-2
200
What shape does the graph of f(x) = x2 looks like?
parabola or U shape
200
Write a general function that has been shifted to the right 3 and up 9
f(x-3)+9
200
Find the range of the following set:
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
{0,1,2,3}
200
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
(7,16)
200
Factor: 16x2-81
(4x-9)(4x+9)
300
All the x-values of the functions
Domain
300
f(x) = 4|x| - 6
g(x) = -2x +7
What is f(-3) - g(1)?
1
300
Identify the range
[-5,∞)
300
Describe the transformation from the parent function f(x)=x2
g(x) = x2 + 8
up 8
300
6x + 5y = 3
Find the x and y intercepts
(0,3/5) and (1/2,0)
400
Why is this NOT a function?
20 and 22 have two different outputs
400
What is f(20)
10 miles
400
Domain: (-2,4)
Range: [-3,3]
400
Describe the transformation from the parent function f(x)=|x|
g(x) = lx - 4l
Right 4
400
Write an equation for this line
y=(-3/5)x-4
500
What is the name of the this parent function f(x) =2x
Exponential
500
if f(x)=x2+3x+2, find f(x)=0
x=-1,-2
500
Identify the domain and range
Domain: (-∞,∞)
Range: (-∞,∞)
500
Find the coordinates of ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
L'(6,-1), M'(12,0), N'(9,5)
500
Simplify
9x4y10