Misc.
What does an open circle mean on a graph and what does a closed circle mean?
open circle - not included (just the boundary point)
closed circle - included in the domain
f(x)= 2 x > 5
4 x <5
f(6)=?
2
Put the polynomial in standard form:
4x2 + 2x4 - 3x
2x4 + 4x2 - 3x
Function
A set of ordered pair for which there is exactly 1 output for every input
If five chickens each lay an egg every Monday, Wednesday, and Friday only, it'll take this many weeks to make a 30-egg omelet
2
What test tells us if an equation is a function?
Vertical Line Test
h(x) = 0.5x-10 x<6
- x - 1 x >6
h(-10) = ?
-15
What is the Greatest Common Factor:
12x4 + 3x3 + x2
X2
Piecewise Function
A function that is built by pieces of different functions over different intervals of its domain
Binary number systems use only these 2 digits
1 and 0
How do we find the Range of a function?
Find all possible Y-values for the function
g(x) = 3x-1 if x<4
2x+7 if x>4
g(4) = ?
11
Factor the difference of two squares:
X2 - 36
(X+6)(X-6)
Vertical line test
The test used to determine if a graph is a function
The word Algebra originated from this language
Arabic
How do we find the Domain of our function?
Find all the possible x values
f(x) = 5x - 1, if x < -2
x - 9, if x > -2
f(-4) = ?
-21
How would we write: two less than twice a number
2x-2
DAILY DOUBLE!!!!!!!!
MATH
the abstract science of number, quantity, and space.
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities
Algebra
Given this piecewise function, which equation would I use if I wanted to find f(1) (top, middle, or bottom)
h(x) = x+3 if x <-2
x^2 if -2<=x<1
-x+2 if x>=1
Bottom
f(x) = x if x < -2
2x + 1 if x > -2
f(3) = ?
7
What is the formula for Slope intercept form?
y= mx + b
The x-axis
The horizontal lines for which all Y-values are 0
The number of Square inches in a square foot
144