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
A set of ordered pair for which there is exactly 1 output for every input =
Function
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
A function that is built by pieces of different functions over different intervals of its domain
Piecewise Function
Binary number systems use only these 2 digits
1 and 0
Define Range of a function?
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)
The test used to determine if a graph is a functionVertical line test
Vertical Line Test
The word Algebra originated from this language
Arabic
Define 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!!!!!!!!
The abstract science of number, quantity, and space.
Math
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 abstract science of number, quantity, and space.
The x-axis
The number of Square inches in a square foot
144